Existence and uniqueness of the globally conservative solutions for a weakly dissipative Camassa–Holm equation in time weighted H1(R) space

DOI10.1063/5.0165049arXiv2206.06523OpenAlexW4387783682MaRDI QIDQ6087411

Publication date: 12 December 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.06523

Mathematics Subject Classification ID

Soliton equations (35Q51) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Soliton solutions (35C08)

Cites Work

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Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
Global conservative solutions of the Camassa-Holm equation
Wave breaking for nonlinear nonlocal shallow water equations
The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
A note on well-posedness for Camassa-Holm equation.
Global weak solutions for a shallow water equation
Ill-posedness of the Camassa-Holm and related equations in the critical space
A few remarks on the Camassa-Holm equation.
Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
Existence of permanent and breaking waves for a shallow water equation: a geometric approach
Ill-posedness for the Cauchy problem of the Camassa-Holm equation in \(B_{\infty, 1}^1(\mathbb{R})\)
Wave breaking for shallow water models with time decaying solutions
Uniqueness of dissipative solution for Camassa-Holm equation with peakon-antipeakon initial data
Ill-posedness for the Camassa-Holm and related equations in Besov spaces
On the weak solutions to a shallow water equation
On the scattering problem for the Camassa-Holm equation
GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
Global weak solutions for a shallow water equation
An integrable shallow water equation with peaked solitons
ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION
Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa–Holm equation
Globally conservative solutions for the modified Camassa–Holm (MOCH) equation
Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
On the Cauchy problem for the Camassa-Holm equation
The well-posedness for the Camassa-Holm type equations in critical Besov spaces \(B_{p , 1}^{1 + \frac{ 1}{ p}}\) with \(1 \leq p < + \infty \)

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