Existence and smoothness of continuous and discrete solutions of a two-dimensional shallow water problem over movable beds

DOI10.1016/J.NA.2012.08.021zbMath1253.35127OpenAlexW2001038124MaRDI QIDQ715693

Babacar Toumbou, Abdolmajid M. Mohammadian

Publication date: 31 October 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.08.021

zbMATH Keywords

Galerkin method shallow water equations discontinuous Galerkin method discrete system smoothness existence theorem movable beds

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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