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.

引用

页码：371 / 408

页数：38

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