On the Cauchy problem for a generalized two-component shallow water wave system with fractional higher-order inertia operators
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Publication:525530
DOI10.3934/dcds.2017062zbMath1382.35241OpenAlexW2567467744MaRDI QIDQ525530
Publication date: 5 May 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2017062
global existenceLittlewood-Paley theorylocal well-posednessblow-up criteriatwo-component shallow water wave system with fractional higher-order inertia operators
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Maximal functions, Littlewood-Paley theory (42B25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
Related Items (4)
A note on the initial value problem for a higher‐order Camassa–Holm equation ⋮ Continuity properties of the data-to-solution map for the two-component higher order Camassa-Holm system ⋮ Non-uniform dependence on initial data for the two-component fractional shallow water wave system ⋮ Nonuniform dependence of solution to the high-order two-component \(b\)-family system
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