On existence and uniqueness of the global weak solution for a shallow water equation
type: Item
instance of: scholarly article
title: On existence and uniqueness of the global weak solution for a shallow water equation
zbMATH Open document ID: 1278.35214
author: YunXi Guo
author: Shaoyong Lai
author: Yonghong Wu
published in: Applied Mathematics and Computation
publication date: 2013-12-23T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76B03
zbMATH DE Number: 6242142
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: global weak solution
zbMATH Keywords: a shallow water wave equation
MaRDI profile type: Publication
full work available at URL: j.amc.2012.05.029
OpenAlex ID: W2013662363
cites work: An integrable shallow water equation with peaked solitons
cites work: Geodesic flow on the diffeomorphism group of the circle
cites work: On geodesic exponential maps of the Virasoro group
cites work: On the scattering problem for the Camassa-Holm equation
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Global weak solutions for a shallow water equation
cites work: Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
cites work: Global weak solutions and blow-up structure for the Degasperis-Procesi equation
cites work: Symplectic structures, their Bäcklund transformations and hereditary symmetries
cites work: Some properties of solutions to the weakly dissipative Degasperis-Procesi equation
cites work: Infinite propagation speed for the Degasperis-Procesi equation
cites work: A domain decomposition method for the Oseen-viscoelastic flow equations
cites work: Camassa–Holm, Korteweg–de Vries and related models for water waves
cites work: Global solutions and blow-up phenomena to a shallow water equation
cites work: The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
cites work: Traveling wave solutions of the Degasperis-Procesi equation
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: Stability of peakons for the Degasperis-Procesi equation
cites work: Global existence and blow-up phenomena for the Degasperis-Procesi equation
cites work: Global existence and blow-up solutions for a nonlinear shallow water equation
cites work: Multi-peakon solutions of the Degasperis–Procesi equation
cites work: Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit
cites work: Q4865486
cites work: Well-posedness and blow-up phenomena for a higher order shallow water equation
cites work: Q5848315
cites work: A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
cites work: The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations
cites work: On the weak solutions to a shallow water equation.
cites work: ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION
cites work: On the Cauchy problem for an integrable equation with peakon solutions
cites work: Global weak solutions for a new periodic integrable equation with peakon solutions
cites work: Global solutions to a new integrable equation with peakons
DOI: 10.1016/J.AMC.2012.05.029
description: scientific article; zbMATH DE number 6242142