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arXiv:0803.0817 [math.AP]AbstractReferencesReviewsResources

A new sharp estimate on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg-Landau equation

Nikos I. Karachalios

Published 2008-03-06Version 1

Using the improved lower bound on the sum of the eigenvalues of the Dirichlet Laplacian proved by A. D. Melas (Proc. Amer. Math. Soc. \textbf{131} (2003) 631-636), we report a new and sharp estimate for the dimension of the global attractor associated to the complex Ginzburg-Landau equation supplemented with Dirichlet boundary conditions.

Comments: 5 pages
Categories: math.AP, math-ph, math.MP
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