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

DOI10.1016/j.aml.2021.107268zbMath1475.35120arXiv2008.06946OpenAlexW3150164198MaRDI QIDQ2233312

Hongwei Mei, Geng Chen, Hong Cai

Publication date: 15 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06946

zbMATH Keywords

uniquenessCamassa-Holm equationdissipative solution

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Existence and regularity for global weak solutions to the 𝜆-family water wave equations ⋮ Existence and uniqueness of the globally conservative solutions for a weakly dissipative Camassa–Holm equation in time weighted H1(R) space

Cites Work

• Solutions of the Camassa-Holm equation with accumulating breaking times
• Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics
• Blow-up for the two-component Camassa-Holm system
• Global conservative solutions of the Camassa-Holm equation
• On the weak solutions to a shallow water equation
• GENERALIZED CHARACTERISTICS AND THE HUNTER–SAXTON EQUATION
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• An integrable shallow water equation with peaked solitons
• On measures of accretion and dissipation for solutions of the Camassa–Holm equation
• ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION
• Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
• A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM

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