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arXiv · 0803.0817

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

Nikos I. Karachalios
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Abstract

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.

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Nikos I. Karachalios. 2008-03-06. A new sharp estimate on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg-Landau equation. https://doi.org/10.1063/1.3187781

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