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

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