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Advances in Mathematical Physics
Volume 2014, Article ID 215672, 11 pages
Research Article

Solution Theory of Ginzburg-Landau Theory on BCS-BEC Crossover

1School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, China
2School of Mathematical Science, Xiamen University, Xiamen, Fujian 361005, China

Received 28 June 2014; Accepted 22 September 2014; Published 2 November 2014

Academic Editor: Salvador E. Venegas-Andraca

Copyright © 2014 Shuhong Chen and Zhong Tan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We establish strong solution theory of time-dependent Ginzburg-Landau (TDGL) systems on BCS-BEC crossover. By the properties of Besov, Sobolev spaces, and Fourier functions and the method of bootstrapping argument, we deduce that the global existence of strong solutions to time-dependent Ginzburg-Landau systems on BCS-BEC crossover in various spatial dimensions.