Global asymptotics toward the rarefaction waves for a parabolic-elliptic system related to the Camassa-Holm shallow water equation

DOI10.1016/S0252-9602(09)60037-0zbMath1199.35255MaRDI QIDQ846863

Xuan Ma, Jing Jin, Hui Yin

Publication date: 12 February 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

energy methoda priori estimatesCamassa-Holm equationparabolic-elliptic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic conservation laws (35L65) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09) Initial value problems for mixed-type systems of PDEs (35M31)

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