Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
type: Item
instance of: scholarly article
title: Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
zbMATH Open document ID: 1190.35039
author: Chunxia Guan
author: Zhaoyang Yin
published in: Journal of Differential Equations
publication date: 2010-04-08T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 5690752
zbMATH Keywords: strong solutions
zbMATH Keywords: several new blow-up results
MaRDI profile type: Publication
full work available at URL: j.jde.2009.08.002
OpenAlex ID: W2015749938
cites work: Multi-peakons and a theorem of Stieltjes
cites work: Global conservative solutions of the Camassa-Holm equation
cites work: GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: A two-component generalization of the Camassa-Holm equation and its solutions
cites work: The Hamiltonian structure of the Camassa-Holm equation
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: On the scattering problem for the Camassa-Holm equation
cites work: The trajectories of particles in Stokes waves
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Q4225587
cites work: Q4253188
cites work: Global weak solutions for a shallow water equation
cites work: On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
cites work: Particle trajectories in solitary water waves
cites work: On an integrable two-component Camassa-Holm shallow water system
cites work: Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
cites work: Geodesic flow on the diffeomorphism group of the circle
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: Stability of peakons
cites work: Stability of a class of solitary waves in compressible elastic rods
cites work: Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
cites work: A few remarks on the Camassa-Holm equation.
cites work: Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
cites work: Initial Boundary Value Problems of the Camassa–Holm Equation
cites work: Initial boundary value problems for nonlinear dispersive wave equations
cites work: On a Camassa–Holm type equation with two dependent variables
cites work: Symplectic structures, their Bäcklund transformations and hereditary symmetries
cites work: Extended Camassa-Holm Hierarchy and Conserved Quantities
cites work: Water waves and integrability
cites work: Camassa–Holm, Korteweg–de Vries and related models for water waves
cites work: Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations
cites work: Integrable Nonlinear Wave Equations and Possible Connections to Tsunami Dynamics
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: A 2-component or \(N=2\) supersymmetric Camassa-Holm equation
cites work: On the Cauchy problem for the Camassa-Holm equation
cites work: Stokes waves
cites work: Q4151274
cites work: On the weak solutions to a shallow water equation.
cites work: Well-posedness, blow up, and global existence for an integrable shallow water equation
DOI: 10.1016/J.JDE.2009.08.002
description: scientific article; zbMATH DE number 5690752