Olivier Besson ; Soulèye Kane ; Mamadou Sy
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On a 1D-Shallow Water Model: Existence of solution and numerical simulations
arima:1901 -
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées,
November 20, 2008,
Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
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https://doi.org/10.46298/arima.1901
On a 1D-Shallow Water Model: Existence of solution and numerical simulationsArticle
Authors: Olivier Besson 1; Soulèye Kane 2; Mamadou Sy 3
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Olivier Besson;Soulèye Kane;Mamadou Sy
1 Institut de Mathématiques
2 École Supérieure Polytechnique de Dakar
3 Laboratoire d'Analyse Numérique et Informatique [Sénégal]
The study of a 1D-shallow water model, obtained in a height-flow formulation, is presented. It takes viscosity into account and can be used for the flood prediction in rivers. For a linearized system, the existence and uniqueness of a global solution is proved. Finally, various numerical results are presented regarding the linear and non linear case.