An existence result for a free boundary shallow water model using a Lagrangian scheme

Autor:	Mathieu Peybernes, Pierre Orenga, Fabien Flori
Rok vydání:	2008
Předmět:	Waves and shallow water Sequence Compact space Discretization Applied Mathematics Scheme (mathematics) Mathematical analysis Existence theorem Boundary (topology) Limit (mathematics) Mathematical Physics Analysis Mathematics
Zdroj:	Annales de l'Institut Henri Poincare (C) Non Linear Analysis. 25(4):725-741
ISSN:	0294-1449
DOI:	10.1016/j.anihpc.2007.05.005
Popis:	We propose a free boundary shallow water model for which we give an existence theorem. The proof uses an original Lagrangian discrete scheme in order to build a sequence of approximate solutions. The properties of this scheme allow to treat the difficulties linked to the boundary motion. These approximate solutions verify some compactness results which allow us to pass to the limit in the discrete problem.
Databáze:	OpenAIRE
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