Dynamics of Bose-Einstein condensates of fermion pairs in the low   density limit of BCS theory
  We show that the time-evolution of the wave function describing the macroscopic variations of the pair density in BCS theory can be approximated, in the dilute limit, by a time-dependent Gross-Pitaevskii equation. 
Christian Hainzl and Benjamin Schlein
math-ph math.AP math.MP