Existence and smoothness of continuous and discrete solutions of a two-dimensional shallow water problem over movable beds with nonlinear sediment transport relationship

DOI10.1016/J.NONRWA.2012.06.002zbMath1256.35092OpenAlexW1986977842MaRDI QIDQ1926424

Babacar Toumbou, Abdolmajid M. Mohammadian

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.06.002

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 methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Granular flows (76T25)

This page was built for publication: Existence and smoothness of continuous and discrete solutions of a two-dimensional shallow water problem over movable beds with nonlinear sediment transport relationship