Global well-posedness of the Cauchy problem of the fifth-order shallow water equation

DOI10.1016/j.jde.2006.04.008zbMath1106.35068OpenAlexW2024546571MaRDI QIDQ860749

Hua Wang, Shang-bin Cui

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.04.008

zbMATH Keywords

global well-posedness\(I\)-methodfifth-order shallow water equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items

Gibbs measure for the higher order modified Camassa-Holm equation, Global well-posedness for a fifth-order shallow water equation in Sobolev spaces, Sharp global well-posedness of the BBM equation in \(L^p\) type Sobolev spaces, The global attractor for a weakly damped forced shallow water equation in Sobolev spaces of low regularity, Well-posedness of a higher order modified Camassa-Holm equation in spaces of low regularity, Well-posedness for stochastic Camassa-Holm equation, Well-posedness for the stochastic higher order modified Camassa-Holm equation, The Cauchy problem for a fifth-order dispersive equation, The Cauchy problem for higher-order modified Camassa-Holm equations on the circle, Existence and regularity of the global attractor for a weakly damped forced shallow water equation in \(H^1(\mathbb R)\), The Cauchy problem for a higher order shallow water type equation on the circle, Well posedness for a higher order modified Camassa-Holm equation

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