Initial boundary value problems for the two-component shallow water systems

DOI10.4171/RMI/744zbMath1302.35121MaRDI QIDQ373505

Kai Yan, Zhaoyang Yin

Publication date: 17 October 2013

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

zbMATH Keywords

Besov spacesglobal existencelocal well-posednessCamassa-Holm equationDegasperis-Procesi equationglobal weak solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Blow-up in context of PDEs (35B44) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (8)

Infinite propagation speed and asymptotic behavior for a two-component Degasperis-Procesi system ⋮ Lipschitz metric for the modified two-component Camassa–Holm system ⋮ On the initial value problem for higher dimensional Camassa-Holm equations ⋮ The local well-posedness, blow-up criteria and Gevrey regularity of solutions for a two-component high-order Camassa-Holm system ⋮ Qualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutions ⋮ Persistence properties and asymptotic behavior for a two-component \(b\)-family system with high order nonlinearity ⋮ On the Cauchy problem for a two-component \(b\)-family system with high order nonlinearity ⋮ The global Gevrey regularity of the rotation two-component Camassa-Holm system

Cites Work

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• An integrable shallow water equation with peaked solitons

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