Finite dimensional behavior of global attractors for weakly damping Ginzburg-Landau equations coupling with BBM equations

DOI10.1016/S1007-5704(98)90051-XzbMath0922.35160MaRDI QIDQ1288335

Murong Jiang, Bo-ling Guo

Publication date: 1998

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

existence of global attractorsGinzburg-Landau equationsperiodic initial value problemBBM equationsupper bounds of Hausdorff and fractal dimensions

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Global attractors of non-Newtonian fluids near the BCS-BEC crossover ⋮ Attractors for generalized Ginzburg-Landau-BBM equations in an unbounded domain ⋮ Attractors for the Ginzburg-Landau-BBM equations in an unbounded domain

Cites Work

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• Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
• Infinite-dimensional dynamical systems in mechanics and physics
• Dynamics of coupled solitons

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