Gevrey regularity and approximate inertial manifolds for the derivative Ginzburg-Landau equation in two spatial dimensions

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October 1996, 2(4): 455-466. doi: 10.3934/dcds.1996.2.455

Gevrey regularity and approximate inertial manifolds for the derivative Ginzburg-Landau equation in two spatial dimensions

1.	Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088
2.	Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

Received September 1995 Revised March 1996 Published July 1996

Abstract
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In the present paper , we show the Gevrey class regularity of solutions for the generalized Ginzburg-Landau equation in two spatial dimensions. We also introduce an approximate inertial manifold for this system.

Keywords: global attractor, approximate inertial manifold, Ginzburg-Landau equation., Gevrey class regularity.

Mathematics Subject Classification: 35K57, 35B40, 58F3.

Citation: Boling Guo, Bixiang Wang. Gevrey regularity and approximate inertial manifolds for the derivative Ginzburg-Landau equation in two spatial dimensions. Discrete & Continuous Dynamical Systems - A, 1996, 2 (4) : 455-466. doi: 10.3934/dcds.1996.2.455

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