EXISTENCE OF GLOBAL WEAK SOLUTIONS TO FOKKER-PLANCK AND NAVIER-STOKES-FOKKER-PLANCK EQUATIONS IN KINETIC MODELS OF DILUTE POLYMERS

被引：4
|
作者：
Barrett, John W. [1 ]
Suli, Endre [2 ]
机构：
[1] Imperial Coll, Dept Math, London SW7 2AZ, England
[2] Univ Oxford, Math Inst, Oxford OX1 3LB, England
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2010年 / 3卷 / 03期
关键词：
Existence of weak solutions; dilute polymer; kinetic theory; Navier-Stokes equation; Fokker-Planck equation;
D O I：
10.3934/dcdss.2010.3.371
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This survey paper reviews recent developments concerning the existence of global weak solutions to Fokker-Planck equations with unbounded drift terms, and coupled Navier-Stokes-Fokker-Planck systems of partial differential equations, that arise in finitely extensible nonlinear elastic (FENS) type kinetic models of incompressible dilute polymeric fluids in the case of general noncorotational flow.
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页码：371 / 408
页数：38
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