# American Institute of Mathematical Sciences

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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