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On a 1D-Shallow Water Model: Existence of solution and numerical simulations

Abstract : 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.
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https://hal.inria.fr/hal-01277918
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Olivier Besson, Soulèye Kane, Mamadou Sy. On a 1D-Shallow Water Model: Existence of solution and numerical simulations. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2008, 9, pp.247-260. ⟨hal-01277918⟩

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