Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619405 | Journal of Mathematical Analysis and Applications | 2010 | 15 Pages |
Abstract
In this paper, the Cauchy problem of coupled Ginzburg–Landau (GL) equations describing Bose–Einstein condensates and nonlinear optical waveguides and cavities is considered. The long-time behavior of solution is investigated using a series of sharp a priori estimates in phase space E1 and E2, respectively. The global strong attractor in E2 is proved by energy equation method, and its bound of dimension is shown.
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