Long-time asymptotic behavior of two-dimensional dissipative Boussinesq systems

DOI10.3934/dcdss.2009.2.37zbMath1165.35436OpenAlexW2038081758MaRDI QIDQ1017552

Olivier Goubet, Min Chen

Publication date: 12 May 2009

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2009.2.37

zbMATH Keywords

wavesdissipationlong-time asymptoticstwo-way propagationBoussinesq systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (13)

Pullback \(\mathcal{D}\)-attractors of the 3D Boussinesq equations with damping ⋮ Finite difference/spectral approximations to a water wave model with a nonlocal viscous term ⋮ On the Boussinesq-Burgers equations driven by dynamic boundary conditions ⋮ On the controllability of a Boussinesq system for two-way propagation of dispersive waves ⋮ Decay of solutions to a linear viscous asymptotic model for water waves ⋮ Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions ⋮ Long-time asymptotics of a linear higher-order water wave model ⋮ Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity ⋮ On the regularity for the Boussinesq equations in a bounded domain ⋮ Stabilization of a Boussinesq system with localized damping ⋮ Decay of solutions for a dissipative higher-order Boussinesq system on a periodic domain ⋮ Large time decay and growth for solutions of a viscous Boussinesq system ⋮ Asymptotic behavior of a linear higher-order BBM-system with damping

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