Well-posedness, blow-up phenomena and global existence for the generalized \(b\)-equation with higher-order nonlinearities and weak dissipation
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Publication:379758
DOI10.3934/dcds.2014.34.843zbMath1277.35135OpenAlexW2320292878MaRDI QIDQ379758
Shouming Zhou, Liangchen Wang, Chun-Lai Mu
Publication date: 11 November 2013
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2014.34.843
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 (15)
Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator ⋮ Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion ⋮ A generalized two-component Camassa-Holm system with complex nonlinear terms and Waltzing peakons ⋮ The Cauchy problem for the Camassa-Holm-Novikov equation ⋮ Dispersive estimates for kinetic transport equation in Besov spaces ⋮ Wave breaking and global existence for the generalized periodic Camassa-Holm equation with the weak dissipation ⋮ Global solutions for the generalized Camassa-Holm equation ⋮ The Cauchy problem for a generalized \(b\)-equation with higher-order nonlinearities in critical Besov spaces and weighted \(L^p\) spaces ⋮ Global well-posedness and infinite propagation speed for the N − abc family of Camassa–Holm type equation with both dissipation and dispersion ⋮ Continuity and analyticity for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs ⋮ The global conservative solutions for the generalized Camassa-Holm equation ⋮ Conserved quantities, global existence and blow-up for a generalized CH equation ⋮ Persistent decay of solutions to the \(k- abc\) equation in weighted \(L^p\) spaces ⋮ Local-in-space blow-up for a weakly dissipative generalized two-component Camassa-Holm system ⋮ Analytical properties for the fifth-order b-family Novikov model
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