The FENE dumbbell polymer model: existence and uniqueness of solutions   for the momentum balance equation
  We consider the FENE dumbbell polymer model which is the coupling of the incompressible Navier-Stokes equations with the corresponding Fokker-Planck-Smoluchowski di ffusion equation. We show global well-posedness in the case of a 2D bounded domain. We assume in the general case that the initial velocity is sufficiently small and the initial probability density is sufficiently close to the equilibrium solution; moreover an additional condition on the coeffcients is imposed. In the corotational case, we only assume that the initial probability density is sufficiently close to the equilibrium solution. 
Adriana Valentina Busuioc (LAMUSE), Ionel Sorin Ciuperca (ICJ), Dragos   Iftimie (ICJ), Liviu Iulian Palade (ICJ)
math.AP