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arXiv · 1104.1193

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

Adriana Valentina Busuioc·Ionel Sorin Ciuperca·Dragos Iftimie·Liviu Iulian Palade
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Abstract

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.

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Adriana Valentina Busuioc, Ionel Sorin Ciuperca, Dragos Iftimie, Liviu Iulian Palade. 2011-04-06. The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation. https://doi.org/10.1007/s10884-014-9369-y

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