Abstract
In this paper, we study the 2m-order nonlinear Ginzburg-Landau system inn spatial dimensions. We show the existence and uniqueness of the global generalized solution, and the existence of the global attractor for this system, and establish the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractor.
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References
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This project is supported by the National Natural Science Foundation of China (No. 19571010).
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Haiyang, H. The finite dimensional behaviour for the higher-order nonlinear Ginzburg-Landau system inn spatial dimensions. Acta Mathematicae Applicatae Sinica 16, 386–395 (2000). https://doi.org/10.1007/BF02671128
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DOI: https://doi.org/10.1007/BF02671128