Local well-posedness for the sixth-order Boussinesq equation

DOI10.1016/j.jmaa.2011.06.038zbMath1231.35045arXiv1012.5088OpenAlexW1980351744MaRDI QIDQ641574

Amin Esfahani, Luiz Gustavo Farah

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5088

zbMATH Keywords

Sobolev spacesBoussinesq equationinitial value problemlocal well-posednessone space dimension

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for nonlinear higher-order PDEs (35G25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

Local well-posedness for a class of 1D Boussinesq systems, Classical solutions for 1-dimensional and 2-dimensional Boussinesq equations, Lower regularity solutions of the non-homogeneous boundary-value problem for a higher order Boussinesq equation in a quarter plane, A non-homogeneous boundary value problem of the sixth order Boussinesq equation in a quarter plane, Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane, Well-posedness for the Cauchy problem associated to a periodic Boussinesq equation, Controllability and Stabilizability of a Higher Order Wave Equation on a Periodic Domain, Global existence and blow-up for the generalized sixth-order Boussinesq equation, Stability of solitary waves for the generalized higher-order Boussinesq equation, Global rough solutions to the sixth-order Boussinesq equation, Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain, Improved global well-posedness for defocusing sixth-order Boussinesq equations, Blow-up phenomena for the sixth-order Boussinesq equation with fourth-order dispersion term and nonlinear source, The limit behavior of solutions for the Cauchy problem of the sixth-order Boussinesq equation, Active control of an improved Boussinesq system, Well-posedness results for a sixth-order logarithmic Boussinesq equation

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