We present an existence theorem of a two-dimensional sedimentation model coupling a shallow-water system with a sediment transport equation. A finite dimensional problem is solved using a Brouwer fix point theorem. We prove that the limits of the resulting solution sequences satisfy the model equations.
Nous présentons un théorème d'existence d'un modèle bidimensionnel de sédimentation composé d'un système de Saint-Venant et d'une équation de transport de sédiment. Nous résolvons un problème de dimension finie utilisant un théorème de point fixe de Brouwer. Nous montrons que les limites des suites de solutions de ce problème de dimension finie satisfont les équations du modèle.
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Babacar Toumbou 1, 2; Daniel Y. Le Roux 1; Abdou Sene 2
@article{CRMATH_2007__344_7_443_0, author = {Babacar Toumbou and Daniel Y. Le Roux and Abdou Sene}, title = {An existence theorem for a {2-D} coupled sedimentation shallow-water model}, journal = {Comptes Rendus. Math\'ematique}, pages = {443--446}, publisher = {Elsevier}, volume = {344}, number = {7}, year = {2007}, doi = {10.1016/j.crma.2007.01.026}, language = {en}, }
TY - JOUR AU - Babacar Toumbou AU - Daniel Y. Le Roux AU - Abdou Sene TI - An existence theorem for a 2-D coupled sedimentation shallow-water model JO - Comptes Rendus. Mathématique PY - 2007 SP - 443 EP - 446 VL - 344 IS - 7 PB - Elsevier DO - 10.1016/j.crma.2007.01.026 LA - en ID - CRMATH_2007__344_7_443_0 ER -
Babacar Toumbou; Daniel Y. Le Roux; Abdou Sene. An existence theorem for a 2-D coupled sedimentation shallow-water model. Comptes Rendus. Mathématique, Volume 344 (2007) no. 7, pp. 443-446. doi : 10.1016/j.crma.2007.01.026. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.01.026/
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