Finite dimension of global attractors for dissipative equations governing modulated wave

DOI10.1007/s11766-003-0069-3zbMath1045.35012OpenAlexW2322333937MaRDI QIDQ1423947

Zhengde Dai, Lin Yang

Publication date: 7 March 2004

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-003-0069-3

zbMATH Keywords

dissipative Hamiltonian amplitude equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

Finite dimension of global attractors for dissipative equations governing modulated wave ⋮ Dynamics of non-autonomous stochastic dissipative Hamiltonian amplitude wave equations with rapidly oscillating force

Cites Work

• Unnamed Item
• Attractors for damped nonlinear hyperbolic equations
• Finite dimensional behavior for weakly damped driven Schrödinger equations
• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Infinite-dimensional dynamical systems in mechanics and physics
• Finite dimensional global attractor for dissipative Schrödinger-Boussinesq equations
• Finite dimension of global attractors for dissipative equations governing modulated wave
• Attractor for the dissipative Hamiltonian amplitude equation governing modulated wave instabilities
• Regularity of the attractor for the dissipative Hamiltonian amplitude equation governing modulated wave instabilities

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