The existence of a global attractor for the \((2+1)\)-dimensional long wave-short wave resonance interaction equation

DOI10.1016/J.NA.2010.08.001zbMath1202.35035OpenAlexW1489491143MaRDI QIDQ607093

Jie Xin, Hong Lu

Publication date: 19 November 2010

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.2010.08.001

zbMATH Keywords

asymptotic smoothing effectdecomposition of the solution semigroup

Mathematics Subject Classification ID

Attractors (35B41) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (4)

Existence of random attractor for stochastic fractional long-short wave equations with periodic boundary condition ⋮ Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space ⋮ Orbital stability of solitary waves for the generalized long-short wave resonance equations with a cubic-quintic strong nonlinear term ⋮ ATTRACTOR FOR THE NON-AUTONOMOUS LONG WAVE-SHORT WAVE RESONANCE INTERACTION EQUATION WITH DAMPING

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• The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
• The global solution of the (2+1)-dimensional long wave–short wave resonance interaction equation
• Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains

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