Non-uniform dependence for the periodic higher dimensional Camassa-Holm equations
type: Item
instance of: scholarly article
title: Non-uniform dependence for the periodic higher dimensional Camassa-Holm equations
zbMATH Open document ID: 1482.35033
author: Meiling Yang
author: Yongsheng Li
author: Yongye Zhao
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-03-22T00:00:00Z
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35G31
zbMATH DE Number: 6851998
zbMATH Keywords: higher dimensional Camassa-Holm equations
zbMATH Keywords: transport equation
zbMATH Keywords: Besov spaces
zbMATH Keywords: non-uniform dependence on initial data
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.01.012
OpenAlex ID: W2783203824
cites work: Fourier Analysis and Nonlinear Partial Differential Equations
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: Blow-up, zero \(\alpha\) limit and the Liouville type theorem for the Euler-poincaré equations
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: The trajectories of particles in Stokes waves
cites work: Q4253188
cites work: Q4225587
cites work: Particle trajectories in solitary water waves
cites work: Analyticity of periodic traveling free surface water waves with vorticity
cites work: A shallow water equation on the circle
cites work: Global weak solutions for a shallow water equation
cites work: A few remarks on the Camassa-Holm equation.
cites work: A note on well-posedness for Camassa-Holm equation.
cites work: On the uniqueness in critical spaces for compressible Navier-Stokes equations
cites work: Initial boundary value problems for nonlinear dispersive wave equations
cites work: Algebro-geometric solutions of the Camassa-Holm hierarchy
cites work: Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
cites work: Non-Uniform Dependence for the Periodic CH Equation
cites work: Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
cites work: Q4075341
cites work: The correspondence between KdV and Camassa-Holm
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: On the Euler-Poincaré equation with non-zero dispersion
cites work: Q3810338
cites work: Continuous properties of the solution map for the Euler equations
cites work: Well-posedness of the modified Camassa-Holm equation in Besov spaces
cites work: A note on the solution map for the periodic Camassa–Holm equation
cites work: The dependences on initial data for the b-family equation in critical Besov space
cites work: Q3336199
cites work: On the weak solutions to a shallow water equation.
cites work: On the initial value problem for higher dimensional Camassa-Holm equations
cites work: On the Cauchy problem for an integrable equation with peakon solutions
DOI: 10.1016/J.JMAA.2018.01.012
description: scientific article; zbMATH DE number 6851998