Existence and uniqueness of the globally conservative solutions for a weakly dissipative Camassa–Holm equation in time weighted H1(R) space (Q6087411)

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scientific article; zbMATH DE number 7775725

Language	Label	Description	Also known as
English	Existence and uniqueness of the globally conservative solutions for a weakly dissipative Camassa–Holm equation in time weighted H1(R) space	scientific article; zbMATH DE number 7775725

Statements

scholarly article

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

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Journal of Mathematical Physics

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publication date

12 December 2023

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full work available at URL

https://arxiv.org/abs/2206.06523

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MaRDI profile type

MaRDI publication profile

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Wave breaking for shallow water models with time decaying solutions

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Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa–Holm equation

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On the scattering problem for the Camassa-Holm equation

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The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

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An integrable shallow water equation with peaked solitons

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Global weak solutions for a shallow water equation

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A few remarks on the Camassa-Holm equation.

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A note on well-posedness for Camassa-Holm equation.

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Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces

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Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation

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On the Cauchy problem for the Camassa-Holm equation

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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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Ill-posedness for the Cauchy problem of the Camassa-Holm equation in \(B_{\infty, 1}^1(\mathbb{R})\)

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Ill-posedness of the Camassa-Holm and related equations in the critical space

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Global weak solutions for a shallow water equation

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On the weak solutions to a shallow water equation

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Global conservative solutions of the Camassa-Holm equation

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GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION

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Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View

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ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION

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Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics

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Uniqueness of dissipative solution for Camassa-Holm equation with peakon-antipeakon initial data

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Existence of permanent and breaking waves for a shallow water equation: a geometric approach

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Wave breaking for nonlinear nonlocal shallow water equations

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Ill-posedness for the Camassa-Holm and related equations in Besov spaces

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The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold

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Globally conservative solutions for the modified Camassa–Holm (MOCH) equation

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Identifiers

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10.1063/5.0165049

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6087411

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