三维全空间上GinzburgLandau方程的整体吸引子

Abstract

Abstract:

The complex GinzburgLandau equation (CGL) in whole \$R\+3\$ is studied. By introducing the weighted space, applying interpolation inequality and a priori estimate in weighted space, the existence of the global solution for the GinzburgLandau equation is obtained. Moveover, the existence of global attractor for this equation is established.

Key words: Complex GinzburgLandau equation, Unbounded domain, Global solution, Global attractor

CLC Number:

35B30

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LI Dong-Long, GUO Bai-Ling. Global Attractor for Complex Ginzburg Landau\=Equation in Whole R\+3[J].Acta mathematica scientia,Series A, 2004, 4(5): 607-617.

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Global Attractor for Complex Ginzburg Landau\=Equation in Whole R\+3

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