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Exponential attractor of the 3D derivative Ginzburg-Landau equation

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Abstract

In this paper, we consider a derivative Ginzburg-Landau-type equation with periodic initial-value condition in three-dimensional spaces. Sufficient conditions for existence and uniqueness of a global solution are obtained by uniform a priori estimates of the solution. Furthermore, the existence of a global attractor and an exponential attractor with finite dimensions are proved.

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Authors and Affiliations

  1. Department of Mathematics & LMIB, Beijing University of Aeronautics and Astronautics, Beijing, 100083, P. R. China

    Shu Juan Lü & Qi Shao Lu

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  1. Shu Juan Lü
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  2. Qi Shao Lu
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Correspondence to Shu Juan Lü.

Additional information

This work is supported by the National Natural Science Foundation of China (Nos. 10432010 and 10571010)

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Lü, S.J., Lu, Q.S. Exponential attractor of the 3D derivative Ginzburg-Landau equation. Acta. Math. Sin.-English Ser. 24, 809–828 (2008). https://doi.org/10.1007/s10114-007-5324-8

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  • DOI: https://doi.org/10.1007/s10114-007-5324-8

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