Cauchy problem for a damped generalized IMBq equation

DOI10.1063/1.3577956zbMath1317.35191OpenAlexW1980656870MaRDI QIDQ5266004

Xiangying Chen, Guowang Chen, Weifang Rui

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3577956

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order hyperbolic equations (35L25) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (2)

Asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative terms ⋮ Numerical simulation of the stochastic damped improved Boussinesq equation

Cites Work

• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\).
• The initial value problem for a generalized Boussinesq equation.
• Small amplitude solutions of the generalized IMBq equation.
• Solitary-Wave Interactions in Elastic Rods
• Commutator estimates and the euler and navier-stokes equations
• Existence and nonexistence of global solutions for the generalized IMBq equation
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
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