On global attractors for 2D damped driven nonlinear Schrödinger equations

DOI10.1080/00036811.2021.1895124zbMath1497.35059arXiv2008.02741OpenAlexW3134938117MaRDI QIDQ5867326

Elena A. Kopylova, Alexander I. Komech

Publication date: 14 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02741

zbMATH Keywords

initial-boundary value problemglobal attractornonlinear Schrödinger equationalmost periodic functionabsorbing setGalerkin approximationsenergy equation

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Classical almost periodic functions, mean periodic functions (42A75) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

• Strong uniform attractors for non-autonomous dissipative PDEs with non translation-compact external forces
• A global compact attractor for high-dimensional defocusing nonlinear Schrödinger equations with potential
• Global attractor for weakly damped nonlinear Schrödinger equations in \(L^2(\mathbb R)\)
• Low-dimensional chaos in a driven damped nonlinear Schrödinger equation
• Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
• Finite dimensional behavior for weakly damped driven Schrödinger equations
• Asymptotic behaviour for a weakly damped Schrödinger equation in dimension two
• Global attractors for damped semilinear wave equations.
• Attractors for noncompact nonautonomous systems via energy equations.
• Long-time behaviour for weakly damped driven nonlinear Schrödinger equations in \(\mathbb{R}^ N, N\leq 3\)
• An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
• Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in \(\mathbb{R}^2\)
• Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation
• Regularity of the attractor for a weakly damped nonlinear schrödinger equation
• Attractor for a damped cubic-Schrödinger equation on a two-dimensional thin domain
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