Long-time behavior of solutions of a BBM equation with generalized damping

DOI10.3934/dcdsb.2015.20.1897zbMath1339.35038arXiv1402.5009OpenAlexW2962993970MaRDI QIDQ258259

Pierre Garnier, Jean-Paul Chehab, Youcef Mammeri

Publication date: 10 March 2016

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

Full work available at URL: https://arxiv.org/abs/1402.5009

zbMATH Keywords

local well-posedness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) 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 (8)

Local well-posedness of generalized BBM equations with generalized damping on 1D torus ⋮ Stabilization of a Boussinesq system with generalized damping ⋮ Linearized difference schemes for a BBM equation with a fractional nonlocal viscous term ⋮ The Benjamin-Bona-Mahony equation with dissipative memory ⋮ Benjamin-Bona-Mahony equations with memory and Rayleigh friction ⋮ Decay of solutions for a dissipative higher-order Boussinesq system on a periodic domain ⋮ Damping, stabilization, and numerical filtering for the modeling and the simulation of time dependent PDEs ⋮ Dynamics of a 3D Benjamin–Bona–Mahony equations with sublinear operator

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