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 la 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 simulations
Authors: Olivier Besson ; Soulèye Kane ; Mamadou Sy
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.