MODELING VISCOELASTIC FLOWS USING REFLECTED STOCHASTIC DIFFERENTIAL EQUATIONS

被引：0

作者：

Bonito, A. ^{[1
]}

Lozinski, A. ^{[2
]}

Mountford, T. ^{[3
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Univ Toulouse 3, Inst Math Toulouse, F-31062 Toulouse 9, France

[3] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2010年 / 8卷 / 03期

基金：

美国国家科学基金会;

关键词：

Viscoelastic flows; dumbbell models; reflected stochastic differential equations; APPROXIMATION; DIFFUSION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A reflected diffusion process is proposed for modeling of viscoelastic fluids. In order to define the viscoelastic stress tensor, the reflected diffusion process is approximated by Ito diffusions with a penalization factor in the drift term. Convergence of the stress tensor approximation is proved and an expression for the limiting stress tensor in terms of the reflected process itself is provided.

引用

页码：655 / 670

页数：16

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