The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity
type: Item
instance of: scholarly article
title: The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity
zbMATH Open document ID: 1219.35003
author: Mădălina Petcu
author: R. Temam
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2011-03-16T00:00:00Z
review text: The authors study the one-dimensional shallow water equation for a nonviscous fluid with Dirichlet boundary conditions on the velocity. Approximate solutions are constructed and various a priori estimates are proved. Then, by showing the convergence of the approximate solutions, the local existence of the solution and its uniqueness are proved, i.e., the local in time well-posedness of the problem.
reviewed by: Svetlana A. Grishina
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 5866445
zbMATH Keywords: nonviscous fluid
zbMATH Keywords: local in time well-posedness
MaRDI profile type: Publication
full work available at URL: dcdss.2011.4.209
OpenAlex ID: W2001087833
DOI: 10.3934/DCDSS.2011.4.209
description: scientific article; zbMATH DE number 5866445