Global existence and uniqueness result for the diffusive Peterlin viscoelastic model

被引：21

作者：

Lukacova-Medvid'ova, Maria ^{[1
]}

Mizerova, Hana ^{[1
]}

Necasova, Sarka ^{[2
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Math, D-55122 Mainz, Germany

[2] Acad Sci Czech Republ, Inst Math, Prague 11567 1, Czech Republic

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 120卷

关键词：

Peterlin viscoelastic model; Existence; Uniqueness; POLYMERIC FLUID; WELL-POSEDNESS; OLDROYD-B; DILUTE POLYMERS; KINETIC-MODELS; WEAK SOLUTIONS; EQUATIONS; APPROXIMATION; MATHEMATICS;

D O I：

10.1016/j.na.2015.03.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to present the existence and uniqueness result for the diffusive Peterlin viscoelastic model describing the unsteady behaviour of some incompressible polymeric fluids. The polymers are treated as two beads connected by a nonlinear spring. The Peterlin approximation of the spring force is used to derive the equation for the conformation tensor. The latter is the time evolution equation with spatial diffusion of the conformation tensor. Using the energy estimates we prove global in time existence of a weak solution in two space dimensions. We are also able to show the regularity and consequently the uniqueness of the weak solution. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：154 / 170

页数：17

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