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<!DOCTYPE html><html lang="fr"><head><meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1"> <title>Modèles de structures aléatoires de type réaction-diffusion | Theses.fr</title> <link rel="preconnect" href="https://fonts.gstatic.com"> <link rel="stylesheet" media="print" onload="this.onload=null;this.removeAttribute('media')" href="https://fonts.googleapis.com/css?family=Roboto:100,300,400,500,700,900&display=swap"> <link rel="stylesheet preload prefetch" href="https://fonts.googleapis.com/css?family=Roboto:100,300,400,500,700,900" as="style" crossorigin type="text/css"> <link rel="icon" type="image/x-icon" href="/favicon.ico"> <style id="vuetify-theme-stylesheet">:root { --v-theme-background: 249,249,251; --v-theme-background-overlay-multiplier: 1; --v-theme-surface: 255,255,255; --v-theme-surface-overlay-multiplier: 1; --v-theme-surface-bright: 255,255,255; --v-theme-surface-bright-overlay-multiplier: 1; --v-theme-surface-light: 238,238,238; --v-theme-surface-light-overlay-multiplier: 1; --v-theme-surface-variant: 66,66,66; --v-theme-surface-variant-overlay-multiplier: 2; --v-theme-on-surface-variant: 238,238,238; --v-theme-primary: 37,44,97; --v-theme-primary-overlay-multiplier: 2; --v-theme-primary-darken-1: 55,0,179; --v-theme-primary-darken-1-overlay-multiplier: 2; --v-theme-secondary: 0,160,220; --v-theme-secondary-overlay-multiplier: 1; --v-theme-secondary-darken-1: 1,135,134; --v-theme-secondary-darken-1-overlay-multiplier: 1; --v-theme-error: 176,0,32; --v-theme-error-overlay-multiplier: 2; --v-theme-info: 33,150,243; --v-theme-info-overlay-multiplier: 1; --v-theme-success: 76,175,80; --v-theme-success-overlay-multiplier: 1; --v-theme-warning: 251,140,0; --v-theme-warning-overlay-multiplier: 1; --v-theme-secondary-darken-2: 0,90,143; --v-theme-secondary-darken-2-overlay-multiplier: 2; --v-theme-secondary-darken-3: 0,90,143; --v-theme-secondary-darken-3-overlay-multiplier: 2; --v-theme-orange-abes: 207,73,27; --v-theme-orange-abes-overlay-multiplier: 1; --v-theme-orange-abes-thesaurus: 207,73,27; --v-theme-orange-abes-thesaurus-overlay-multiplier: 1; --v-theme-gris-clair: 230,230,230; --v-theme-gris-clair-overlay-multiplier: 1; --v-theme-gris-fonce: 179,178,180; --v-theme-gris-fonce-overlay-multiplier: 1; --v-theme-fond-noir: 0,0,0; --v-theme-fond-noir-overlay-multiplier: 2; --v-theme-text-dark-blue: 11,33,52; --v-theme-text-dark-blue-overlay-multiplier: 2; --v-theme-fond-chip-blue: 171,185,213; --v-theme-fond-chip-blue-overlay-multiplier: 1; --v-theme-white-text: 255,255,255; --v-theme-white-text-overlay-multiplier: 1; --v-theme-gris-skeleton: 230,230,230; --v-theme-gris-skeleton-overlay-multiplier: 1; --v-theme-gris-switch: 89,87,89; --v-theme-gris-switch-overlay-multiplier: 2; --v-theme-thesaurus-text: 255,255,255; --v-theme-thesaurus-text-overlay-multiplier: 1; --v-theme-on-background: 0,0,0; --v-theme-on-surface: 0,0,0; --v-theme-on-surface-bright: 0,0,0; --v-theme-on-surface-light: 0,0,0; --v-theme-on-primary: 255,255,255; --v-theme-on-primary-darken-1: 255,255,255; --v-theme-on-secondary: 255,255,255; --v-theme-on-secondary-darken-1: 255,255,255; --v-theme-on-error: 255,255,255; --v-theme-on-info: 255,255,255; --v-theme-on-success: 255,255,255; --v-theme-on-warning: 255,255,255; --v-theme-on-secondary-darken-2: 255,255,255; --v-theme-on-secondary-darken-3: 255,255,255; --v-theme-on-orange-abes: 255,255,255; --v-theme-on-orange-abes-thesaurus: 255,255,255; --v-theme-on-gris-clair: 0,0,0; --v-theme-on-gris-fonce: 0,0,0; --v-theme-on-fond-noir: 255,255,255; --v-theme-on-text-dark-blue: 255,255,255; --v-theme-on-fond-chip-blue: 0,0,0; --v-theme-on-white-text: 0,0,0; --v-theme-on-gris-skeleton: 0,0,0; --v-theme-on-gris-switch: 255,255,255; --v-theme-on-thesaurus-text: 0,0,0; --v-border-color: 0, 0, 0; --v-border-opacity: 0.12; --v-high-emphasis-opacity: 0.87; --v-medium-emphasis-opacity: 0.6; --v-disabled-opacity: 0.38; --v-idle-opacity: 0.04; --v-hover-opacity: 0.04; --v-focus-opacity: 0.12; --v-selected-opacity: 0.08; --v-activated-opacity: 0.12; --v-pressed-opacity: 0.12; --v-dragged-opacity: 0.08; --v-theme-kbd: 33, 37, 41; --v-theme-on-kbd: 255, 255, 255; --v-theme-code: 245, 245, 245; --v-theme-on-code: 0, 0, 0; } .v-theme--light { color-scheme: normal; --v-theme-background: 255,255,255; --v-theme-background-overlay-multiplier: 1; --v-theme-surface: 255,255,255; --v-theme-surface-overlay-multiplier: 1; --v-theme-surface-bright: 255,255,255; --v-theme-surface-bright-overlay-multiplier: 1; --v-theme-surface-light: 238,238,238; --v-theme-surface-light-overlay-multiplier: 1; --v-theme-surface-variant: 66,66,66; --v-theme-surface-variant-overlay-multiplier: 2; --v-theme-on-surface-variant: 238,238,238; --v-theme-primary: 24,103,192; --v-theme-primary-overlay-multiplier: 2; --v-theme-primary-darken-1: 31,85,146; --v-theme-primary-darken-1-overlay-multiplier: 2; --v-theme-secondary: 72,169,166; --v-theme-secondary-overlay-multiplier: 1; --v-theme-secondary-darken-1: 1,135,134; --v-theme-secondary-darken-1-overlay-multiplier: 1; --v-theme-error: 176,0,32; --v-theme-error-overlay-multiplier: 2; --v-theme-info: 33,150,243; --v-theme-info-overlay-multiplier: 1; --v-theme-success: 76,175,80; --v-theme-success-overlay-multiplier: 1; --v-theme-warning: 251,140,0; --v-theme-warning-overlay-multiplier: 1; --v-theme-on-background: 0,0,0; --v-theme-on-surface: 0,0,0; --v-theme-on-surface-bright: 0,0,0; --v-theme-on-surface-light: 0,0,0; --v-theme-on-primary: 255,255,255; --v-theme-on-primary-darken-1: 255,255,255; --v-theme-on-secondary: 255,255,255; --v-theme-on-secondary-darken-1: 255,255,255; --v-theme-on-error: 255,255,255; --v-theme-on-info: 255,255,255; --v-theme-on-success: 255,255,255; --v-theme-on-warning: 255,255,255; --v-border-color: 0, 0, 0; --v-border-opacity: 0.12; --v-high-emphasis-opacity: 0.87; --v-medium-emphasis-opacity: 0.6; --v-disabled-opacity: 0.38; --v-idle-opacity: 0.04; --v-hover-opacity: 0.04; --v-focus-opacity: 0.12; --v-selected-opacity: 0.08; --v-activated-opacity: 0.12; --v-pressed-opacity: 0.12; --v-dragged-opacity: 0.08; --v-theme-kbd: 33, 37, 41; --v-theme-on-kbd: 255, 255, 255; --v-theme-code: 245, 245, 245; --v-theme-on-code: 0, 0, 0; } .v-theme--dark { color-scheme: dark; --v-theme-background: 18,18,18; --v-theme-background-overlay-multiplier: 1; --v-theme-surface: 33,33,33; --v-theme-surface-overlay-multiplier: 1; --v-theme-surface-bright: 204,191,214; --v-theme-surface-bright-overlay-multiplier: 2; --v-theme-surface-light: 66,66,66; --v-theme-surface-light-overlay-multiplier: 1; --v-theme-surface-variant: 163,163,163; --v-theme-surface-variant-overlay-multiplier: 2; --v-theme-on-surface-variant: 66,66,66; --v-theme-primary: 33,150,243; --v-theme-primary-overlay-multiplier: 2; --v-theme-primary-darken-1: 39,124,193; --v-theme-primary-darken-1-overlay-multiplier: 2; --v-theme-secondary: 84,182,178; --v-theme-secondary-overlay-multiplier: 2; --v-theme-secondary-darken-1: 72,169,166; --v-theme-secondary-darken-1-overlay-multiplier: 2; --v-theme-error: 207,102,121; --v-theme-error-overlay-multiplier: 2; --v-theme-info: 33,150,243; --v-theme-info-overlay-multiplier: 2; --v-theme-success: 76,175,80; --v-theme-success-overlay-multiplier: 2; --v-theme-warning: 251,140,0; --v-theme-warning-overlay-multiplier: 2; --v-theme-on-background: 255,255,255; --v-theme-on-surface: 255,255,255; --v-theme-on-surface-bright: 0,0,0; --v-theme-on-surface-light: 255,255,255; --v-theme-on-primary: 255,255,255; --v-theme-on-primary-darken-1: 255,255,255; --v-theme-on-secondary: 255,255,255; --v-theme-on-secondary-darken-1: 255,255,255; --v-theme-on-error: 255,255,255; --v-theme-on-info: 255,255,255; --v-theme-on-success: 255,255,255; --v-theme-on-warning: 255,255,255; --v-border-color: 255, 255, 255; --v-border-opacity: 0.12; --v-high-emphasis-opacity: 1; --v-medium-emphasis-opacity: 0.7; --v-disabled-opacity: 0.5; --v-idle-opacity: 0.1; --v-hover-opacity: 0.04; --v-focus-opacity: 0.12; --v-selected-opacity: 0.08; --v-activated-opacity: 0.12; --v-pressed-opacity: 0.16; --v-dragged-opacity: 0.08; --v-theme-kbd: 33, 37, 41; --v-theme-on-kbd: 255, 255, 255; --v-theme-code: 52, 52, 52; --v-theme-on-code: 204, 204, 204; } .v-theme--abesLightTheme { color-scheme: normal; --v-theme-background: 249,249,251; --v-theme-background-overlay-multiplier: 1; --v-theme-surface: 255,255,255; --v-theme-surface-overlay-multiplier: 1; --v-theme-surface-bright: 255,255,255; --v-theme-surface-bright-overlay-multiplier: 1; --v-theme-surface-light: 238,238,238; --v-theme-surface-light-overlay-multiplier: 1; --v-theme-surface-variant: 66,66,66; --v-theme-surface-variant-overlay-multiplier: 2; --v-theme-on-surface-variant: 238,238,238; --v-theme-primary: 37,44,97; --v-theme-primary-overlay-multiplier: 2; --v-theme-primary-darken-1: 55,0,179; --v-theme-primary-darken-1-overlay-multiplier: 2; --v-theme-secondary: 0,160,220; --v-theme-secondary-overlay-multiplier: 1; --v-theme-secondary-darken-1: 1,135,134; --v-theme-secondary-darken-1-overlay-multiplier: 1; --v-theme-error: 176,0,32; --v-theme-error-overlay-multiplier: 2; --v-theme-info: 33,150,243; --v-theme-info-overlay-multiplier: 1; --v-theme-success: 76,175,80; --v-theme-success-overlay-multiplier: 1; --v-theme-warning: 251,140,0; --v-theme-warning-overlay-multiplier: 1; --v-theme-secondary-darken-2: 0,90,143; --v-theme-secondary-darken-2-overlay-multiplier: 2; --v-theme-secondary-darken-3: 0,90,143; --v-theme-secondary-darken-3-overlay-multiplier: 2; --v-theme-orange-abes: 207,73,27; --v-theme-orange-abes-overlay-multiplier: 1; --v-theme-orange-abes-thesaurus: 207,73,27; --v-theme-orange-abes-thesaurus-overlay-multiplier: 1; --v-theme-gris-clair: 230,230,230; --v-theme-gris-clair-overlay-multiplier: 1; --v-theme-gris-fonce: 179,178,180; --v-theme-gris-fonce-overlay-multiplier: 1; --v-theme-fond-noir: 0,0,0; --v-theme-fond-noir-overlay-multiplier: 2; --v-theme-text-dark-blue: 11,33,52; --v-theme-text-dark-blue-overlay-multiplier: 2; --v-theme-fond-chip-blue: 171,185,213; --v-theme-fond-chip-blue-overlay-multiplier: 1; --v-theme-white-text: 255,255,255; --v-theme-white-text-overlay-multiplier: 1; --v-theme-gris-skeleton: 230,230,230; --v-theme-gris-skeleton-overlay-multiplier: 1; --v-theme-gris-switch: 89,87,89; --v-theme-gris-switch-overlay-multiplier: 2; --v-theme-thesaurus-text: 255,255,255; --v-theme-thesaurus-text-overlay-multiplier: 1; --v-theme-on-background: 0,0,0; --v-theme-on-surface: 0,0,0; --v-theme-on-surface-bright: 0,0,0; --v-theme-on-surface-light: 0,0,0; --v-theme-on-primary: 255,255,255; --v-theme-on-primary-darken-1: 255,255,255; --v-theme-on-secondary: 255,255,255; --v-theme-on-secondary-darken-1: 255,255,255; --v-theme-on-error: 255,255,255; --v-theme-on-info: 255,255,255; --v-theme-on-success: 255,255,255; --v-theme-on-warning: 255,255,255; --v-theme-on-secondary-darken-2: 255,255,255; --v-theme-on-secondary-darken-3: 255,255,255; --v-theme-on-orange-abes: 255,255,255; --v-theme-on-orange-abes-thesaurus: 255,255,255; --v-theme-on-gris-clair: 0,0,0; --v-theme-on-gris-fonce: 0,0,0; --v-theme-on-fond-noir: 255,255,255; --v-theme-on-text-dark-blue: 255,255,255; --v-theme-on-fond-chip-blue: 0,0,0; --v-theme-on-white-text: 0,0,0; --v-theme-on-gris-skeleton: 0,0,0; --v-theme-on-gris-switch: 255,255,255; --v-theme-on-thesaurus-text: 0,0,0; --v-border-color: 0, 0, 0; --v-border-opacity: 0.12; --v-high-emphasis-opacity: 0.87; --v-medium-emphasis-opacity: 0.6; --v-disabled-opacity: 0.38; --v-idle-opacity: 0.04; --v-hover-opacity: 0.04; --v-focus-opacity: 0.12; --v-selected-opacity: 0.08; --v-activated-opacity: 0.12; --v-pressed-opacity: 0.12; --v-dragged-opacity: 0.08; --v-theme-kbd: 33, 37, 41; --v-theme-on-kbd: 255, 255, 255; --v-theme-code: 245, 245, 245; --v-theme-on-code: 0, 0, 0; } .v-theme--abesDarkTheme { color-scheme: normal; --v-theme-background: 52,54,67; --v-theme-background-overlay-multiplier: 2; --v-theme-surface: 52,54,67; --v-theme-surface-overlay-multiplier: 2; --v-theme-surface-bright: 255,255,255; --v-theme-surface-bright-overlay-multiplier: 1; --v-theme-surface-light: 238,238,238; --v-theme-surface-light-overlay-multiplier: 1; --v-theme-surface-variant: 66,66,66; --v-theme-surface-variant-overlay-multiplier: 2; --v-theme-on-surface-variant: 238,238,238; --v-theme-primary: 255,255,255; --v-theme-primary-overlay-multiplier: 1; --v-theme-primary-darken-1: 255,255,255; --v-theme-primary-darken-1-overlay-multiplier: 1; --v-theme-secondary: 255,255,255; --v-theme-secondary-overlay-multiplier: 1; --v-theme-secondary-darken-1: 255,255,255; --v-theme-secondary-darken-1-overlay-multiplier: 1; --v-theme-error: 255,128,128; --v-theme-error-overlay-multiplier: 1; --v-theme-info: 33,150,243; --v-theme-info-overlay-multiplier: 1; --v-theme-success: 76,175,80; --v-theme-success-overlay-multiplier: 1; --v-theme-warning: 251,140,0; --v-theme-warning-overlay-multiplier: 1; --v-theme-secondary-darken-2: 0,170,234; --v-theme-secondary-darken-2-overlay-multiplier: 1; --v-theme-secondary-darken-3: 0,90,143; --v-theme-secondary-darken-3-overlay-multiplier: 2; --v-theme-orange-abes: 0,170,234; --v-theme-orange-abes-overlay-multiplier: 1; --v-theme-orange-abes-thesaurus: 255,255,255; --v-theme-orange-abes-thesaurus-overlay-multiplier: 1; --v-theme-gris-clair: 255,255,255; --v-theme-gris-clair-overlay-multiplier: 1; --v-theme-gris-fonce: 255,255,255; --v-theme-gris-fonce-overlay-multiplier: 1; --v-theme-fond-noir: 0,0,0; --v-theme-fond-noir-overlay-multiplier: 2; --v-theme-text-dark-blue: 255,255,255; --v-theme-text-dark-blue-overlay-multiplier: 1; --v-theme-fond-chip-blue: 171,185,213; --v-theme-fond-chip-blue-overlay-multiplier: 1; --v-theme-white-text: 255,255,255; --v-theme-white-text-overlay-multiplier: 1; --v-theme-thesaurus-text: 0,90,143; --v-theme-thesaurus-text-overlay-multiplier: 2; --v-theme-gris-skeleton: 85,88,109; --v-theme-gris-skeleton-overlay-multiplier: 2; --v-theme-gris-switch: 179,178,180; --v-theme-gris-switch-overlay-multiplier: 1; --v-theme-on-background: 255,255,255; --v-theme-on-surface: 255,255,255; --v-theme-on-surface-bright: 0,0,0; --v-theme-on-surface-light: 0,0,0; --v-theme-on-primary: 0,0,0; --v-theme-on-primary-darken-1: 0,0,0; --v-theme-on-secondary: 0,0,0; --v-theme-on-secondary-darken-1: 0,0,0; --v-theme-on-error: 255,255,255; --v-theme-on-info: 255,255,255; --v-theme-on-success: 255,255,255; --v-theme-on-warning: 255,255,255; --v-theme-on-secondary-darken-2: 255,255,255; --v-theme-on-secondary-darken-3: 255,255,255; --v-theme-on-orange-abes: 255,255,255; --v-theme-on-orange-abes-thesaurus: 0,0,0; --v-theme-on-gris-clair: 0,0,0; --v-theme-on-gris-fonce: 0,0,0; --v-theme-on-fond-noir: 255,255,255; --v-theme-on-text-dark-blue: 0,0,0; --v-theme-on-fond-chip-blue: 0,0,0; --v-theme-on-white-text: 0,0,0; --v-theme-on-thesaurus-text: 255,255,255; --v-theme-on-gris-skeleton: 255,255,255; --v-theme-on-gris-switch: 0,0,0; --v-border-color: 0, 0, 0; --v-border-opacity: 0.12; --v-high-emphasis-opacity: 0.87; --v-medium-emphasis-opacity: 0.6; --v-disabled-opacity: 0.38; --v-idle-opacity: 0.04; --v-hover-opacity: 0.04; --v-focus-opacity: 0.12; --v-selected-opacity: 0.08; --v-activated-opacity: 0.12; --v-pressed-opacity: 0.12; --v-dragged-opacity: 0.08; --v-theme-kbd: 33, 37, 41; --v-theme-on-kbd: 255, 255, 255; --v-theme-code: 245, 245, 245; --v-theme-on-code: 0, 0, 0; } .bg-background { --v-theme-overlay-multiplier: var(--v-theme-background-overlay-multiplier); background-color: rgb(var(--v-theme-background)) !important; color: rgb(var(--v-theme-on-background)) !important; } .bg-surface { --v-theme-overlay-multiplier: var(--v-theme-surface-overlay-multiplier); background-color: rgb(var(--v-theme-surface)) !important; color: rgb(var(--v-theme-on-surface)) !important; } .bg-surface-bright { --v-theme-overlay-multiplier: var(--v-theme-surface-bright-overlay-multiplier); background-color: rgb(var(--v-theme-surface-bright)) !important; color: rgb(var(--v-theme-on-surface-bright)) !important; } .bg-surface-light { --v-theme-overlay-multiplier: var(--v-theme-surface-light-overlay-multiplier); background-color: rgb(var(--v-theme-surface-light)) !important; color: rgb(var(--v-theme-on-surface-light)) !important; } .bg-surface-variant { --v-theme-overlay-multiplier: var(--v-theme-surface-variant-overlay-multiplier); background-color: rgb(var(--v-theme-surface-variant)) !important; color: rgb(var(--v-theme-on-surface-variant)) !important; } .bg-primary { --v-theme-overlay-multiplier: var(--v-theme-primary-overlay-multiplier); background-color: rgb(var(--v-theme-primary)) !important; color: rgb(var(--v-theme-on-primary)) !important; } .bg-primary-darken-1 { --v-theme-overlay-multiplier: var(--v-theme-primary-darken-1-overlay-multiplier); background-color: rgb(var(--v-theme-primary-darken-1)) !important; color: rgb(var(--v-theme-on-primary-darken-1)) !important; } .bg-secondary { --v-theme-overlay-multiplier: var(--v-theme-secondary-overlay-multiplier); background-color: rgb(var(--v-theme-secondary)) !important; color: rgb(var(--v-theme-on-secondary)) !important; } .bg-secondary-darken-1 { --v-theme-overlay-multiplier: var(--v-theme-secondary-darken-1-overlay-multiplier); background-color: rgb(var(--v-theme-secondary-darken-1)) !important; color: rgb(var(--v-theme-on-secondary-darken-1)) !important; } .bg-error { --v-theme-overlay-multiplier: var(--v-theme-error-overlay-multiplier); background-color: rgb(var(--v-theme-error)) !important; color: rgb(var(--v-theme-on-error)) !important; } .bg-info { --v-theme-overlay-multiplier: var(--v-theme-info-overlay-multiplier); background-color: rgb(var(--v-theme-info)) !important; color: rgb(var(--v-theme-on-info)) !important; } .bg-success { --v-theme-overlay-multiplier: var(--v-theme-success-overlay-multiplier); background-color: rgb(var(--v-theme-success)) !important; color: rgb(var(--v-theme-on-success)) !important; } .bg-warning { --v-theme-overlay-multiplier: var(--v-theme-warning-overlay-multiplier); background-color: rgb(var(--v-theme-warning)) !important; color: rgb(var(--v-theme-on-warning)) !important; } .bg-secondary-darken-2 { --v-theme-overlay-multiplier: var(--v-theme-secondary-darken-2-overlay-multiplier); background-color: rgb(var(--v-theme-secondary-darken-2)) !important; color: rgb(var(--v-theme-on-secondary-darken-2)) !important; } .bg-secondary-darken-3 { --v-theme-overlay-multiplier: var(--v-theme-secondary-darken-3-overlay-multiplier); background-color: rgb(var(--v-theme-secondary-darken-3)) !important; color: rgb(var(--v-theme-on-secondary-darken-3)) !important; } .bg-orange-abes { --v-theme-overlay-multiplier: var(--v-theme-orange-abes-overlay-multiplier); background-color: rgb(var(--v-theme-orange-abes)) !important; color: rgb(var(--v-theme-on-orange-abes)) !important; } .bg-orange-abes-thesaurus { --v-theme-overlay-multiplier: var(--v-theme-orange-abes-thesaurus-overlay-multiplier); background-color: rgb(var(--v-theme-orange-abes-thesaurus)) !important; color: rgb(var(--v-theme-on-orange-abes-thesaurus)) !important; } .bg-gris-clair { --v-theme-overlay-multiplier: var(--v-theme-gris-clair-overlay-multiplier); background-color: rgb(var(--v-theme-gris-clair)) !important; color: rgb(var(--v-theme-on-gris-clair)) !important; } .bg-gris-fonce { --v-theme-overlay-multiplier: var(--v-theme-gris-fonce-overlay-multiplier); background-color: rgb(var(--v-theme-gris-fonce)) !important; color: rgb(var(--v-theme-on-gris-fonce)) !important; 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} .on-thesaurus-text { color: rgb(var(--v-theme-on-thesaurus-text)) !important; } </style> <script async> var _paq = window._paq = window._paq || []; _paq.push(['trackPageView']); _paq.push(['enableLinkTracking']); (function() { var u="https://piwik.abes.fr/"; _paq.push(['setTrackerUrl', u+'matomo.php']); _paq.push(['setSiteId', '5']); var d=document, g=d.createElement('script'), s=d.getElementsByTagName('script')[0]; g.async=true; g.src=u+'matomo.js'; s.parentNode.insertBefore(g,s);})();</script> <meta property="og:title" content="Modèles de structures aléatoires de type réaction-diffusion | Theses.fr"> <meta name="description" content="Lorsque se combinent des phénomènes physico-chimiques de réactions et de diffusion entre fluides, il arrive que des hétérogénéités de concentrations se développent, et se structurent à travers l'espace. Les images de tels milieux constituent une classe de textures aux propriétés particulières, et font l'objet de simulations a deux et trois dimensions. Ces textures (ou structures) sont aléatoires ; en effet, leur genèse requiert que les concentrations des fluides soient initialement hétérogènes - dans ce but, des fonctions aléatoires sont utilisées. Au niveau mathématique, on considère une classe de modèles, dits de réaction-diffusion, établis à partir de problèmes qui débordent largement du domaine de la chimie, mais qui restent semblables dans leur formulation. Nos apports dans l’étude de ces modèles résident dans l'exploration de leurs comportements complexes, dans leurs caractérisations morphologiques et dans leurs extensions possibles afin de produire des textures encore inédites. Au niveau macroscopique, des réseaux d'applications couplées sont mis en œuvre. Grâce à un modèle de réaction-transport à l’échelle microscopique - un gaz sur réseau avec opérateur de réaction -, des textures déformables sur des bases hydrodynamiques sont aussi obtenues. Enfin, la modélisation de dépôts de matière par projection plasma est traitée en tant qu'application industrielle d'un modèle de réaction-diffusion. "> <meta property="og:description" content="Lorsque se combinent des phénomènes physico-chimiques de réactions et de diffusion entre fluides, il arrive que des hétérogénéités de concentrations se développent, et se structurent à travers l'espace. Les images de tels milieux constituent une classe de textures aux propriétés particulières, et font l'objet de simulations a deux et trois dimensions. Ces textures (ou structures) sont aléatoires ; en effet, leur genèse requiert que les concentrations des fluides soient initialement hétérogènes - dans ce but, des fonctions aléatoires sont utilisées. Au niveau mathématique, on considère une classe de modèles, dits de réaction-diffusion, établis à partir de problèmes qui débordent largement du domaine de la chimie, mais qui restent semblables dans leur formulation. Nos apports dans l’étude de ces modèles résident dans l'exploration de leurs comportements complexes, dans leurs caractérisations morphologiques et dans leurs extensions possibles afin de produire des textures encore inédites. Au niveau macroscopique, des réseaux d'applications couplées sont mis en œuvre. Grâce à un modèle de réaction-transport à l’échelle microscopique - un gaz sur réseau avec opérateur de réaction -, des textures déformables sur des bases hydrodynamiques sont aussi obtenues. Enfin, la modélisation de dépôts de matière par projection plasma est traitée en tant qu'application industrielle d'un modèle de réaction-diffusion. "> <meta property="og:image" content="https://theses.fr/logo-theses-beta.png"> <meta property="og:image:alt" content="Logo Theses.fr"> <meta name="twitter:card" content="summary"> <meta property="og:type" content="website"> <meta name="author" content="Luc Decker"> <meta name="creator" content="Luc Decker"> <meta name="DC.type" content="thesis"> <meta name="citation_dissertation_name" content="thesis"> <meta name="DC.title" content="Modèles de structures aléatoires de type réaction-diffusion"> <meta name="citation_title" content="Modèles de structures aléatoires de type réaction-diffusion"> <meta name="DC.description.abstract" content="Lorsque se combinent des phénomènes physico-chimiques de réactions et de diffusion entre fluides, il arrive que des hétérogénéités de concentrations se développent, et se structurent à travers l'espace. Les images de tels milieux constituent une classe de textures aux propriétés particulières, et font l'objet de simulations a deux et trois dimensions. Ces textures (ou structures) sont aléatoires ; en effet, leur genèse requiert que les concentrations des fluides soient initialement hétérogènes - dans ce but, des fonctions aléatoires sont utilisées. Au niveau mathématique, on considère une classe de modèles, dits de réaction-diffusion, établis à partir de problèmes qui débordent largement du domaine de la chimie, mais qui restent semblables dans leur formulation. Nos apports dans l’étude de ces modèles résident dans l'exploration de leurs comportements complexes, dans leurs caractérisations morphologiques et dans leurs extensions possibles afin de produire des textures encore inédites. Au niveau macroscopique, des réseaux d'applications couplées sont mis en œuvre. Grâce à un modèle de réaction-transport à l’échelle microscopique - un gaz sur réseau avec opérateur de réaction -, des textures déformables sur des bases hydrodynamiques sont aussi obtenues. Enfin, la modélisation de dépôts de matière par projection plasma est traitée en tant qu'application industrielle d'un modèle de réaction-diffusion. "> <meta name="citation_abstract" content="Lorsque se combinent des phénomènes physico-chimiques de réactions et de diffusion entre fluides, il arrive que des hétérogénéités de concentrations se développent, et se structurent à travers l'espace. Les images de tels milieux constituent une classe de textures aux propriétés particulières, et font l'objet de simulations a deux et trois dimensions. Ces textures (ou structures) sont aléatoires ; en effet, leur genèse requiert que les concentrations des fluides soient initialement hétérogènes - dans ce but, des fonctions aléatoires sont utilisées. Au niveau mathématique, on considère une classe de modèles, dits de réaction-diffusion, établis à partir de problèmes qui débordent largement du domaine de la chimie, mais qui restent semblables dans leur formulation. Nos apports dans l’étude de ces modèles résident dans l'exploration de leurs comportements complexes, dans leurs caractérisations morphologiques et dans leurs extensions possibles afin de produire des textures encore inédites. Au niveau macroscopique, des réseaux d'applications couplées sont mis en œuvre. Grâce à un modèle de réaction-transport à l’échelle microscopique - un gaz sur réseau avec opérateur de réaction -, des textures déformables sur des bases hydrodynamiques sont aussi obtenues. Enfin, la modélisation de dépôts de matière par projection plasma est traitée en tant qu'application industrielle d'un modèle de réaction-diffusion. 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print{.d-print-none{display:none!important}.d-print-inline{display:inline!important}.d-print-inline-block{display:inline-block!important}.d-print-block{display:block!important}.d-print-table{display:table!important}.d-print-table-row{display:table-row!important}.d-print-table-cell{display:table-cell!important}.d-print-flex{display:flex!important}.d-print-inline-flex{display:inline-flex!important}.float-print-none{float:none!important}.float-print-left{float:left!important}.float-print-right{float:right!important}.v-locale--is-rtl .float-print-end{float:left!important}.v-locale--is-ltr .float-print-end,.v-locale--is-rtl .float-print-start{float:right!important}.v-locale--is-ltr .float-print-start{float:left!important}}</style> <style>.v-app-bar{display:flex}.v-app-bar.v-toolbar{background:rgb(var(--v-theme-surface));color:rgba(var(--v-theme-on-surface),var(--v-high-emphasis-opacity))}.v-app-bar.v-toolbar:not(.v-toolbar--flat){box-shadow:0 2px 4px -1px var(--v-shadow-key-umbra-opacity,rgba(0,0,0,.2)),0 4px 5px 0 var(--v-shadow-key-penumbra-opacity,rgba(0,0,0,.14)),0 1px 10px 0 var(--v-shadow-key-ambient-opacity,rgba(0,0,0,.12))}.v-app-bar:not(.v-toolbar--absolute){padding-inline-end:var(--v-scrollbar-offset)}</style> <style>.v-toolbar{align-items:flex-start;background:rgb(var(--v-theme-surface-light));border-color:rgba(var(--v-border-color),var(--v-border-opacity));border-radius:0;border-style:solid;border-width:0;box-shadow:0 0 0 0 var(--v-shadow-key-umbra-opacity,rgba(0,0,0,.2)),0 0 0 0 var(--v-shadow-key-penumbra-opacity,rgba(0,0,0,.14)),0 0 0 0 var(--v-shadow-key-ambient-opacity,rgba(0,0,0,.12));color:rgba(var(--v-theme-on-surface-light),var(--v-high-emphasis-opacity));display:flex;flex:none;flex-direction:column;justify-content:space-between;max-width:100%;overflow:hidden;position:relative;transition:.2s cubic-bezier(.4,0,.2,1);transition-property:height,width,transform,max-width,left,right,top,bottom,box-shadow;width:100%}.v-toolbar--border{border-width:thin;box-shadow:none}.v-toolbar--absolute{position:absolute}.v-toolbar--collapse{border-end-end-radius:24px;max-width:112px;overflow:hidden}.v-toolbar--collapse .v-toolbar-title{display:none}.v-toolbar--flat{box-shadow:0 0 0 0 var(--v-shadow-key-umbra-opacity,rgba(0,0,0,.2)),0 0 0 0 var(--v-shadow-key-penumbra-opacity,rgba(0,0,0,.14)),0 0 0 0 var(--v-shadow-key-ambient-opacity,rgba(0,0,0,.12))}.v-toolbar--floating{display:inline-flex}.v-toolbar--rounded{border-radius:4px}.v-toolbar__content,.v-toolbar__extension{align-items:center;display:flex;flex:0 0 auto;position:relative;transition:inherit;width:100%}.v-toolbar__content>.v-btn:first-child{margin-inline-start:10px}.v-toolbar__content>.v-btn:last-child{margin-inline-end:10px}.v-toolbar__content>.v-toolbar-title{margin-inline-start:16px}.v-toolbar--density-prominent 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<style>.v-btn{align-items:center;border-color:rgba(var(--v-border-color),var(--v-border-opacity));border-radius:4px;border-style:solid;border-width:0;display:inline-grid;flex-shrink:0;font-weight:500;grid-template-areas:"prepend content append";grid-template-columns:max-content auto max-content;justify-content:center;letter-spacing:.0892857143em;line-height:normal;max-width:100%;outline:none;position:relative;text-decoration:none;text-indent:.0892857143em;text-transform:uppercase;transition-duration:.28s;transition-property:box-shadow,transform,opacity,background;transition-timing-function:cubic-bezier(.4,0,.2,1);-webkit-user-select:none;-moz-user-select:none;user-select:none;vertical-align:middle}.v-btn--size-x-small{--v-btn-size:0.625rem;--v-btn-height:20px;font-size:var(--v-btn-size);min-width:36px;padding:0 8px}.v-btn--size-small{--v-btn-size:0.75rem;--v-btn-height:28px;font-size:var(--v-btn-size);min-width:50px;padding:0 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v-locale--is-ltr" style=""><div class="v-application__wrap"><div tabindex="0"><a href="#searchbar" class="skiplink">Aller directement à la barre de recherche</a></div><main class="v-main" style="--v-layout-left:0px;--v-layout-right:0px;--v-layout-top:0px;--v-layout-bottom:0px;transition:none !important;"><div data-v-e0d95bdf><span data-v-e0d95bdf></span><span data-v-e0d95bdf></span><span data-v-e0d95bdf></span><div class="sub-header" data-v-e0d95bdf><div class="search-bar-container white-containers" data-v-e0d95bdf><div class="sub_header__logo" data-v-e0d95bdf><a href="/?domaine=theses" class="" title="Accueil du site" data-v-e0d95bdf><img class="logo" alt="logo Theses" id="logoIMG" src="/_nuxt/icone-theses.uyqBOOn7.svg" data-v-e0d95bdf></a><h1 data-v-e0d95bdf>Le moteur de recherche <br /> des thèses françaises</h1></div><div class="sub_header__action" data-v-e0d95bdf><div class="domain-selector" role="list" data-v-e0d95bdf data-v-e61a9f77><button type="button" class="v-btn v-btn--flat 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data-v-014c17af></span></div><div class="thesis-info-access-wrapper" data-v-c8bc896e><div class="title-wrapper line-clamp" id="thesis-title" data-v-c8bc896e data-v-d290f8ce><div class="thesis-icon" data-v-d290f8ce><span class="these-icon-wrapper" data-v-d290f8ce data-v-eda04f99><div data-v-eda04f99><img alt="Thèse soutenue" id="logoIMG" src="data:image/svg+xml,%3csvg%20width='63.584'%20height='55.354'%20viewBox='0%200%2016.823%2014.646'%20xmlns='http://www.w3.org/2000/svg'%3e%3cg%20transform='translate(-40.969%20-97.583)'%3e%3cpath%20style='fill:%2300a0dc;fill-opacity:1;stroke:none;stroke-width:.144606;stroke-opacity:1;stop-color:%23000'%20d='M41.8%20100.088H52.28c.46%200%20.831.421.831.945v10.25c0%20.524-.37.946-.831.946H41.8c-.46%200-.831-.422-.831-.945v-10.251c0-.524.37-.945.831-.945z'/%3e%3cpath%20d='m47.072%20102.02-4.87%202.656%204.87%202.657%203.985-2.174v3.06h.885v-3.543m-7.969%201.851v1.771l3.1%201.691%203.098-1.691v-1.77l-3.099%201.69z'%20style='fill:%23fff;fill-opacity:1;stroke-width:.442726'/%3e%3ccircle%20style='fill:%23009f1d;fill-opacity:1;stroke:%23fff;stroke-width:.379704;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;stop-color:%23000'%20cx='54.151'%20cy='101.224'%20r='3.451'/%3e%3cpath%20d='m55.669%2099.387.659.664-3.075%203.104-1.634-1.649.66-.663.974.979%202.416-2.435'%20style='fill:%23fff;fill-opacity:1;stroke:none;stroke-width:.30061;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1'/%3e%3c/g%3e%3c/svg%3e" data-v-eda04f99></div><p data-v-eda04f99></p></span></div><div class="title-flexbox" data-v-d290f8ce><h1 class="" data-v-d290f8ce>Modèles de structures aléatoires de type réaction-diffusion</h1><div class="languageSelector language-selector" data-v-d290f8ce data-v-020c978d><div data-v-020c978d><span tabindex="0" class="selected" data-v-020c978d>FR</span></div></div></div></div><div class="thesis-info-wrapper" data-v-c8bc896e><table class="table thesis-component" aria-label="meta-données de la thèse" title="meta-données de la thèse" data-v-c8bc896e data-v-276fb210><tbody class="table-body" data-v-276fb210><tr class="table-rows" data-v-276fb210><td role="rowheader" data-v-276fb210><strong data-v-276fb210>Auteur / Autrice : </strong></td><td role="list" data-v-276fb210><a href="/060973528" class="clickable orange" role="listitem" data-v-276fb210>Luc Decker</a></td></tr><tr class="table-rows" data-v-276fb210><td role="rowheader" data-v-276fb210><strong data-v-276fb210>Direction : </strong></td><td role="list" data-v-276fb210><a href="/060975555" class="clickable lightblue" role="listitem" data-v-276fb210>Dominique Jeulin</a></td></tr><tr class="table-rows" data-v-276fb210><td role="rowheader" data-v-276fb210><strong data-v-276fb210>Type : </strong></td><td data-v-276fb210><span data-v-276fb210>Thèse de doctorat</span></td></tr><tr class="table-rows" data-v-276fb210><td role="rowheader" data-v-276fb210><strong data-v-276fb210>Discipline(s) : </strong></td><td data-v-276fb210>Morphologie mathématique</td></tr><tr class="table-rows" data-v-276fb210><td role="rowheader" data-v-276fb210><strong data-v-276fb210>Date : </strong></td><td data-v-276fb210>Soutenance en 1999</td></tr><tr class="table-rows" data-v-276fb210><td role="rowheader" data-v-276fb210><strong data-v-276fb210>Etablissement(s) : </strong></td><td data-v-276fb210><strong data-v-276fb210><a href="/026375249" class="clickable lightblue" data-v-276fb210>ENSMP</a></strong></td></tr></tbody></table><hr class="v-divider v-theme--colorMode divider border-opacity-50" style="max-width:90%;border-top-width:1px;" aria-orientation="horizontal" role="separator" data-v-c8bc896e><div class="thesis-component" keywords-are-set="true" selected-language="fr" data-v-c8bc896e data-v-c3b730a9><div data-v-c3b730a9><div class="key-words-title-wrapper" data-v-c3b730a9><div class="title" data-v-c3b730a9><i class="mdi-list-box mdi v-icon notranslate v-theme--colorMode v-icon--size-default text-primary" style="" aria-hidden="true" data-v-c3b730a9></i><h2 data-v-c3b730a9>Mots clés</h2><div class="languageSelector" data-v-c3b730a9 data-v-020c978d><div data-v-020c978d><span tabindex="0" class="selected" data-v-020c978d>FR</span></div></div></div></div><div class="thesis-keywords" data-v-c3b730a9><div class="mots-cles-controlles" data-v-c3b730a9><div tabindex="0" aria-labelledby="mots-cles-controles-header" class="subtitle" data-v-c3b730a9><h3 id="mots-cles-controles-header" data-v-c3b730a9>Mots clés contrôlés</h3><button type="button" class="v-btn v-btn--flat v-theme--colorMode v-btn--density-default v-btn--size-default v-btn--variant-elevated info-button" style="" title="Informations sur les mots clés" data-v-c3b730a9><span class="v-btn__overlay"></span><span class="v-btn__underlay"></span><span class="v-btn__content" data-no-activator><i class="mdi-information-outline mdi v-icon notranslate v-theme--colorMode" style="font-size:22px;height:22px;width:22px;" aria-hidden="true" data-v-c3b730a9></i><span class="sr-only" data-v-c3b730a9>Informations sur les mots clés</span></span></button></div><div role="list" class="chip-lines v-chip-group" data-v-c3b730a9><a href="/resultats?q=Morphogen%C3%A8se+ET+027410218&domaine=theses" class="" role="listitem" data-v-c3b730a9><span class="v-chip v-chip--label v-theme--colorMode v-chip--density-default v-chip--size-default v-chip--variant-tonal rameau-chip chips" style="" draggable="false" tabindex="-1" data-v-c3b730a9><span class="v-chip__underlay"></span><div class="v-chip__content"><span class="key-word-label" tabindex="-1" data-v-c3b730a9>Morphogenèse</span></div></span></a></div></div></div></div></div><hr class="v-divider v-theme--colorMode divider border-opacity-50" style="max-width:90%;border-top-width:1px;" aria-orientation="horizontal" role="separator" data-v-c8bc896e><div class="thesis-component" resume-is-set="true" selected-language="fr" data-v-c8bc896e data-v-35e8592d><div class="resume-title-wrapper" data-v-35e8592d><i class="mdi-file-document-arrow-right mdi v-icon notranslate v-theme--colorMode v-icon--size-default text-primary" style="" aria-hidden="true" data-v-35e8592d></i><h2 data-v-35e8592d>Résumé</h2><div class="languageSelector" data-v-35e8592d data-v-020c978d><div data-v-020c978d><span tabindex="0" class="selected" data-v-020c978d>FR</span></div></div></div><div id="resume-text" class="" data-v-35e8592d><p data-v-35e8592d>Lorsque se combinent des phénomènes physico-chimiques de réactions et de diffusion entre fluides, il arrive que des hétérogénéités de concentrations se développent, et se structurent à travers l'espace. Les images de tels milieux constituent une classe de textures aux propriétés particulières, et font l'objet de simulations a deux et trois dimensions. Ces textures (ou structures) sont aléatoires ; en effet, leur genèse requiert que les concentrations des fluides soient initialement hétérogènes - dans ce but, des fonctions aléatoires sont utilisées. Au niveau mathématique, on considère une classe de modèles, dits de réaction-diffusion, établis à partir de problèmes qui débordent largement du domaine de la chimie, mais qui restent semblables dans leur formulation. Nos apports dans l’étude de ces modèles résident dans l'exploration de leurs comportements complexes, dans leurs caractérisations morphologiques et dans leurs extensions possibles afin de produire des textures encore inédites. Au niveau macroscopique, des réseaux d'applications couplées sont mis en œuvre. Grâce à un modèle de réaction-transport à l’échelle microscopique - un gaz sur réseau avec opérateur de réaction -, des textures déformables sur des bases hydrodynamiques sont aussi obtenues. Enfin, la modélisation de dépôts de matière par projection plasma est traitée en tant qu'application industrielle d'un modèle de réaction-diffusion. </p></div></div></div></div></div><span data-v-e0d95bdf></span></div></div></div></main><footer class="v-footer v-theme--colorMode pa-0" style="height:auto;" data-v-1756cb83><div class="footer-top" data-v-1756cb83><div class="theses-description footer-content" data-v-1756cb83><h1 aria-hidden="true" data-v-1756cb83>theses.fr</h1><span data-v-1756cb83>Le moteur de recherche theses.fr recense l’ensemble des thèses de doctorat soutenues en France depuis 1985, les sujets de thèse préparés au sein des établissements de l’enseignement supérieur français, et les personnes impliquées dans la recherche doctorale française. 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