TY - JOUR
T1 - On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover
JO - Journal of Partial Differential Equations
VL - 3
SP - 218
EP - 233
PY - 2009
DA - 2009/08
SN - 22
DO - http://doi.org/10.4208/jpde.v22.n3.3
UR - https://global-sci.org/intro/article_detail/jpde/5255.html
KW - Global existence
KW - uniqueness
KW - time-dependent Ginzburg-Landau theory
KW - BCS-BEC crossover
KW - Galerkin method
AB - <p>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.</p>