Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
type: Item
instance of: scholarly article
title: Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
zbMATH Open document ID: 1330.35048
author: Chunxia Guan
author: Huijun He
author: Zhaoyang Yin
published in: Nonlinear Analysis. Real World Applications
publication date: 2015-11-26T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35D35
zbMATH DE Number: 6514045
zbMATH Keywords: Littlewood-Paley theory
zbMATH Keywords: local well-posedness
zbMATH Keywords: Cauchy problem
zbMATH Keywords: nonhomogeneous Besov spaces
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2015.04.001
OpenAlex ID: W290618169
cites work: Well-posedness, blow-up phenomena, and global solutions for the b-equation
cites work: Q3514031
cites work: Persistence properties for a family of nonlinear partial differential equations
cites work: Global existence and blow-up phenomena for the peakon $b$-family of equations
cites work: Global solutions and blow-up phenomena for the periodic b -equation
cites work: Water waves and integrability
cites work: Q4311808
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4508328
cites work: Q4225587
cites work: Q4253188
cites work: A few remarks on the 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: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: On the Cauchy problem for the Camassa-Holm equation
cites work: Well-posedness, blow up, and global existence for an integrable shallow water equation
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
cites work: Global conservative solutions of the Camassa-Holm equation
cites work: GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
cites work: Global weak solutions for a shallow water equation
cites work: On the weak solutions to a shallow water equation.
cites work: Finite propagation speed for the Camassa–Holm equation
cites work: Persistence properties and unique continuation of solutions of the Camassa-Holm equation
cites work: On the well-posedness of the Degasperis-Procesi equation
cites work: The Degasperis-Procesi equation as a non-metric Euler equation
cites work: Global weak solutions and blow-up structure for the Degasperis-Procesi equation
cites work: Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
cites work: Traveling wave solutions of the Degasperis-Procesi equation
cites work: Global existence and blow-up phenomena for the Degasperis-Procesi 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: On the Cauchy problem for an integrable equation with peakon solutions
cites work: Global existence for a new periodic integrable equation.
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
cites work: A two-component generalization of the Camassa-Holm equation and its solutions
cites work: On an integrable two-component Camassa-Holm shallow water system
cites work: Non-metric two-component Euler equations on the circle
cites work: The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations
cites work: Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
cites work: Q3079639
cites work: Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
cites work: Global weak solutions for a two-component Camassa-Holm shallow water system
cites work: Global weak solutions for a modified two-component Camassa-Holm equation
cites work: On the existence of global weak solutions to an integrable two-component Camassa–Holm shallow-water system
cites work: On the global weak solutions for a modified two-component Camassa-Holm equation
cites work: Global conservative solutions of a modified two-component Camassa-Holm shallow water system
cites work: Global periodic conservative solutions of a periodic modified two-component Camassa-Holm equation
cites work: Fourier Analysis and Nonlinear Partial Differential Equations
cites work: On the uniqueness in critical spaces for compressible Navier-Stokes equations
DOI: 10.1016/J.NONRWA.2015.04.001
description: scientific article; zbMATH DE number 6514045