On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover

Shuhong Chen  & Boling Guo

doi:10.4208/jpde.v22.n3.3

On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover

Authors

Shuhong Chen & Boling Guo

DOI:

https://doi.org/10.4208/jpde.v22.n3.3

Keywords:

Global existence;uniqueness;time-dependent Ginzburg-Landau theory;BCS-BEC crossover;Galerkin method

Abstract

In this paper we investigate time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the Fermion-Boson model. We obtain the global existence and uniqueness of solution to the equations in various spatial dimensions.

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Published

2009-08-12

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Issue

Vol. 22 No. 3 (2009)

Section

Articles

How to Cite

On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover. (2009). Journal of Partial Differential Equations, 22(3), 218-233. https://doi.org/10.4208/jpde.v22.n3.3