The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation

Details The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation

2011-04-06

arxiv.org/abs/1104.1193v1

Mathematics

Analysis of PDEs

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-717611