Global attractor for a system of Klein-Gordon-Schrödinger type in all \(\mathbb R\)

DOI10.1016/j.na.2010.12.009zbMath1213.35124OpenAlexW2003113641MaRDI QIDQ631733

Nikolaos M. Stavrakakis, Marilena N. Poulou

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.12.009

zbMATH Keywords

unbounded domainasymptotic compactnessabsorbing set

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45)

Related Items (8)

Global attractors for the discrete Klein–Gordon–Schrödinger type equations ⋮ Exponential decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping ⋮ Long-time behavior for a non-autonomous Klein-Gordon-Schrödinger system with Yukawa coupling ⋮ Asymptotic behavior of the coupled Klein–Gordon–Schrödinger systems on compact manifolds ⋮ Global attractor for a class of coupled nonlinear Schrödinger equations ⋮ Semi discrete weakly damped nonlinear Klein-Gordon Schrödinger system ⋮ INVARIANT MEASURE AND STATISTICAL SOLUTIONS FOR NON-AUTONOMOUS DISCRETE KLEIN-GORDON-SCHRÖDINGER-TYPE EQUATIONS ⋮ Statistical solution and Kolmogorov entropy for the impulsive discrete Klein-Gordon-Schrödinger-type equations

Cites Work

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• A linearly implicit finite difference method for a Klein-Gordon-Schrödinger system modeling electron-ion plasma waves
• Global attractor for a Klein-Gordon-Schrödinger type system
• Attractor for dissipative Klein-Gordon-Schrödinger equations in \(\mathbb{R}^3\)
• Global attractors for damped semilinear wave equations.
• Parametric exponential energy decay for dissipative electron-ion plasma waves
• Attractors for the dissipative Zakharov system
• Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains

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