Global well-posedness for the viscous Camassa--Holm equation

DOI10.1016/j.jmaa.2006.01.095zbMath1160.35064OpenAlexW1995088780MaRDI QIDQ860953

Wee Keong Lim

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.095

zbMATH Keywords

well-posednessCamassa-Holm equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (8)

Null controllability of the viscous Camassa-Holm equation with moving control ⋮ A stochastic variational approach to the viscous Camassa-Holm and Leray-alpha equations ⋮ On the global well-posedness of the viscous two-component Camassa-Holm system ⋮ Persistence properties and blow-up phenomena for a generalized Camassa-Holm equation ⋮ Carleman estimates and unique continuation property for 1-D viscous Camassa-Holm equation ⋮ The regularity of local solutions for a generalized Camassa-Holm type equation ⋮ Global well posedness and limit behavior of the solutions to the viscous Degasperis–Procesi equation ⋮ The existence of solution for viscous Camassa-Holm equations on bounded domain in five dimensions

Cites Work

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• Global weak solutions for a shallow water equation
• The Cauchy problem for an integrable shallow-water equation
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• On global finite energy solutions of the Camassa-Holm equation
• Stability of peakons
• An integrable shallow water equation with peaked solitons

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