Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1359-1368.

• Articles • Previous Articles     Next Articles

The Existence of Global Solution of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover

CHEN Shu-Hong1,2, GUO Bo-Ling1   

  1. 1.Department of Information and Mathematics Sciences, China Jiliang University, Hangzhou 310018;
    2.Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088
  • Received:2009-08-21 Revised:2011-06-10 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    浙江省自然科学基金(Y6110078)资助

Abstract:

In this paper the authors investigate a time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the fermion-boson model. By matrix theory and Galerkin method, the global existence and uniqueness of solution to the equations are obtained.

Key words: Existence and uniqueness of global solution, Time-dependent Ginzburg-Landau theory, BCS-BEC crossover, Galerkin method, Matrix
theory

CLC Number: 

  • 35Q55
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