A remark on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg–Landau equation

DOI10.1063/1.3187781zbMath1223.35292arXiv0803.0817OpenAlexW3103680783MaRDI QIDQ3069171

Nikos I. Karachalios

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0817

zbMATH Keywords

eigenvalues and eigenfunctionsGinzburg-Landau theory

Mathematics Subject Classification ID

Attractors (35B41) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Ginzburg-Landau equations (35Q56)

Cites Work

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• On characteristic exponents in turbulence
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• New bounds on the Lieb-Thirring constants
• Boundary effects on localized structures in spatially extended systems
• Pulses in a complex Ginzburg-Landau system: Persistence under coupling with slow diffusion
• A lower bound for sums of eigenvalues of the Laplacian
• Algebraically decaying pulses in a Ginzburg–Landau system with a neutrally stable mode
• A note on the fractal dimension of attractors of dissipative dynamical systems

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