| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011
Complex Fluids
|
|
|---|---|---|
| Page(s) | 84 - 97 | |
| DOI | https://doi.org/10.1051/mmnp/20116505 | |
| Published online | 10 August 2011 | |
Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model
1
Université de Lyon, Université Lyon 1, Institut Camille Jordan,
UMR 5208 CNRS
69622
Villeurbanne,
France
2
Université de Lyon, INSA de Lyon, Institut Camille Jordan UMR 5208
CNRS & Pôle de Mathématiques, 69621
Villeurbanne,
France
⋆ Corresponding author. E-mail:
liviu-iulian.palade@insa-lyon.fr
This paper deals with the evolution Fokker-Planck-Smoluchowski configurational probability diffusion equation for the FENE dumbbell model in dilute polymer solutions. We prove the exponential convergence in time of the solution of this equation to a corresponding steady-state solution, for arbitrary velocity gradients.
Mathematics Subject Classification: 35K10 / 35K15 / 35B35
Key words: FENE dumbbell chains / Fokker-Planck-Smoluchowski equation / entropy function / sectorial operators
© EDP Sciences, 2011
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