Well-posedness and global attractors for the Burgers-Ginzburg-Landau equations.

DOI10.1007/s102550200060zbMath1108.35384OpenAlexW2094446903MaRDI QIDQ1566049

Haiyang Huang, Bo-ling Guo

Publication date: 25 September 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200060

zbMATH Keywords

Global attractorMild solutionHausdorff and fractal dimensionsBurger-Ginzbur-Landau equations

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (2)

Global existence and attractors for the two-dimensional Burgers-Ginzburg- Landau equations ⋮ A superlinearly convergent implicit smooth SQP algorithm for mathematical programs with nonlinear complementarity constraints

Cites Work

• On the Eckhaus instability for spatially periodic patterns
• Slowly varying fully nonlinear wavetrains in the Ginzburg-Landau equation
• Infinite-dimensional dynamical systems in mechanics and physics
• On the validity of the Ginzburg-Landau equation
• Attractors for modulation equations on unbounded domains-existence and comparison
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