On the Cauchy problem for a weakly dissipative coupled Camassa-Holm system

DOI10.1007/s00605-023-01845-yOpenAlexW4327967051MaRDI QIDQ6076269

Dongxue Zhang, Yong-Hui Zhou, Xiaowan Li, Shuguan Ji

Publication date: 23 October 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-023-01845-y

zbMATH Keywords

blow-up rateglobal solutionslocal well-posednesswave breaking

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Blow-up in context of PDEs (35B44) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Cites Work

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• Wave breaking of the Camassa-Holm equation
• On the Cauchy problem for the two-component Camassa-Holm system
• Global weak solutions for a two-component Camassa-Holm shallow water system
• On an integrable two-component Camassa-Holm shallow water system
• Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
• On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
• Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons
• Wave breaking for nonlinear nonlocal shallow water equations
• Global weak solutions for a shallow water 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
• Well-posedness and wave breaking for a class of integrable equations
• Wave breaking for shallow water models with time decaying solutions
• Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities
• Some remarks for a modified periodic Camassa-Holm system
• Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
• On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations
• Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation
• On the weak solutions to a shallow water equation
• Breaking Water Waves
• Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System
• Well posedness and blow-up solution for a new coupled Camassa–Holm equations with peakons
• Global weak solutions for a shallow water equation
• An integrable shallow water equation with peaked solitons
• Global conservative and dissipative solutions of a coupled Camassa-Holm equations
• Global existence of weak solutions to the Camassa-Holm equation
• Global solutions for the modified Camassa–Holm equation

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