Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model

作者：Ciuperca I S; Palade L I^*

来源：Mathematical Modelling of Natural Phenomena, 2011, 6(5): 84-97.

DOI：10.1051/mmnp/20116505

• FENE dumbbell chains
• Fokker-Planck-Smoluchowski equation
• entropy function
• sectorial operators

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.

• 出版日期2011