Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model
Mathematical Modelling of Natural Phenomena (2011)
- Volume: 6, Issue: 5, page 84-97
- ISSN: 0973-5348
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topCiuperca, I. S., and Palade, L. I.. "Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model." Mathematical Modelling of Natural Phenomena 6.5 (2011): 84-97. <http://eudml.org/doc/222251>.
@article{Ciuperca2011,
abstract = {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.},
author = {Ciuperca, I. S., Palade, L. I.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {FENE dumbbell chains; Fokker-Planck-Smoluchowski equation; entropy function; sectorial operators; exponential convergence; Sobolev logarithmic inequality},
language = {eng},
month = {8},
number = {5},
pages = {84-97},
publisher = {EDP Sciences},
title = {Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model},
url = {http://eudml.org/doc/222251},
volume = {6},
year = {2011},
}
TY - JOUR
AU - Ciuperca, I. S.
AU - Palade, L. I.
TI - Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/8//
PB - EDP Sciences
VL - 6
IS - 5
SP - 84
EP - 97
AB - 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.
LA - eng
KW - FENE dumbbell chains; Fokker-Planck-Smoluchowski equation; entropy function; sectorial operators; exponential convergence; Sobolev logarithmic inequality
UR - http://eudml.org/doc/222251
ER -
References
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