Geodesic
Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model
I. S. Ciuperca1 ; L. I. Palade2
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
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 5, pp. 84-97.

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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.
DOI : 10.1051/mmnp/20116505

I. S. Ciuperca 1 ; L. I. Palade 2

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 
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I. S. Ciuperca; L. I. Palade. Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 5, pp. 84-97. doi : 10.1051/mmnp/20116505. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116505/

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