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数学物理学报(A辑) 2004
Global Attractor for Complex Ginzburg Landau Equation in Whole R3
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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.