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

Boling Guo; Bixiang Wang

doi:10.3934/dcds.1996.2.455

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1996, Volume 2, Issue 4: 455-466. Doi: 10.3934/dcds.1996.2.455

This issue Previous Article Some computational aspects of approximate inertial manifolds and finite differences Next Article Nonlinear Galerkin approximation of the two dimensional exterior Navier-Stokes problem

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

Boling Guo^1, and
Bixiang Wang²

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

Received: August 31, 1995

Revised: February 29, 1996

Published: September 1996

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Abstract

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.

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Mathematics Subject Classification: 35K57, 35B40, 58F39.

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