Well-posedness and blow-up phenomena for a higher order shallow water equation
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Publication:641018
DOI10.1016/j.jde.2011.08.020zbMath1252.35092OpenAlexW2049338519MaRDI QIDQ641018
Rong Zeng, Shouming Zhou, Chun-Lai Mu
Publication date: 21 October 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.08.020
PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)
Related Items (14)
Comparison between model equations for long waves and blow-up phenomena ⋮ Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator ⋮ Well-posedness and peakons for a higher-order \(\mu\)-Camassa-Holm equation ⋮ Well-posedness, blow-up phenomena and global existence for the generalized \(b\)-equation with higher-order nonlinearities and weak dissipation ⋮ The properties of solutions for a generalized \(b\)-family equation with peakons ⋮ On existence and uniqueness of the global weak solution for a shallow water equation ⋮ The global Gevrey regularity and analyticity of a two-component shallow water system with higher-order inertia operators ⋮ The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system ⋮ Local well-posedness and persistence properties for a model containing both Camassa-Holm and Novikov equation ⋮ The effect of a noise on the stochastic modified Camassa–Holm equation ⋮ Non-uniform dependence on initial data for the two-component fractional shallow water wave system ⋮ On the Cauchy problem for a generalized two-component shallow water wave system with fractional higher-order inertia operators ⋮ Well-posedness and blowup phenomena for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs ⋮ Exact traveling waves solutions for long waves and blow-up phenomena
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