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

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

2008-03-06

arxiv.org/abs/0803.0817v1

Mathematics

Analysis of PDEs

5 pages

Scientific paper

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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