Well-posedness for the dumbbell model of polymeric fluids

被引：77

作者：

Weinan, E ^{[1
]}

Li, TJ

Zhang, PW

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Princeton Univ, PACM, Princeton, NJ 08544 USA

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[4] Peking Univ, LMAM, Beijing 100871, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2004年 / 248卷 / 02期

关键词：

D O I：

10.1007/s00220-004-1102-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dumbbell model is a coupled hydrodynamic-kinetic model for polymeric fluids in which the configurations of the dumbbells are described by stochastic differential equations. We prove well-posedness of this model by deriving directly a priori estimates on the stochastic model. Our results can be used to analyze stochastic simulation methods such as the ones that are based on Brownian configuration fields.

引用

页码：409 / 427

页数：19

共 17 条

[1]

[Anonymous], COMPRESSIBLE FLUID F

[2]

Bird R.B., 1987, DYNAMICS POLYM LIQUI, V2

[3]

Doi M., 1986, THEORY POLYM DYNAMIC

[4] EXISTENCE RESULTS FOR THE FLOW OF VISCOELASTIC FLUIDS WITH A DIFFERENTIAL CONSTITUTIVE LAW [J].