Continuity and asymptotic behaviors for a shallow water wave model with moderate amplitude

DOI10.1016/j.jde.2017.03.002zbMath1397.35235OpenAlexW2596004404WikidataQ59316178 ScholiaQ59316178MaRDI QIDQ526000

Shouming Zhou, Zhijun Qiao, Long Wei, Chun-Lai Mu

Publication date: 8 May 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.03.002

zbMATH Keywords

Hölder continuityasymptotic behaviorsnon-uniform dependenceshallow water wave with moderate amplitude

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25) Strong solutions to PDEs (35D35)

Related Items (10)

Wave breaking for a nonlinear shallow water equation ⋮ Uniqueness of conservative solutions to the generalized Camassa-Holm equation via characteristics ⋮ Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation ⋮ Wave breaking for the Constantin-Lannes equation revisited ⋮ Persistence properties and blow-up phenomena for a generalized Camassa-Holm equation ⋮ Global conservative solutions for a modified periodic coupled Camassa-Holm system ⋮ Non-uniform dependence on initial data for the periodic Constantin-Lannes equation ⋮ On the weak solutions and persistence properties for the variable depth KDV general equations ⋮ A new generalised two-component Camassa-Holm type system with waltzing peakons and wave breaking ⋮ Cusped solitary wave with algebraic decay governed by the equation for surface waves of moderate amplitude

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