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Exponential attractor for the 3D Ginzburg–Landau type equation

✍ Scribed by Shujuan Lü; Qishao Lu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
483 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we consider a complex Ginzburg-Landau type equation with periodic initial value condition in three spatial dimensions. Sufficient conditions for existence and uniqueness of global solutions are obtained by uniform a priori estimates of solutions. Furthermore, the existence of a global attractor with finite Hausdorff and fractal dimensions is proved. Finally, the existence of the exponential attractor is proved.

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