On the blow-up phenomena of Cauchy problem for the Camassa-Holm equation

DOI10.1007/BF02836641zbMath1107.35309OpenAlexW118782639MaRDI QIDQ5492491

Weike Wang, Yongqin Liu

Publication date: 13 October 2006

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02836641

zbMATH Keywords

blow-up setwave-breakingblowup rate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• On the inverse spectral problem for the Camassa-Holm equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Breakdown of a shallow water equation
• Global existence of solution to the Camassa-Holm equation
• Blowup for nonlinear hyperbolic equations
• Stability of the Camassa-Holm solitons
• On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
• On the weak solutions to a shallow water equation
• Global weak solutions for a shallow water equation
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION
• On the Cauchy problem for the Camassa-Holm equation

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