Global existence of classical solutions for the two-dimensional Oldroyd model via the incompressible limit

被引：124

作者：

Lei, Z ^{[1
]}

Zhou, Y

机构：

[1] Fudan Univ, Sch Math, Shanghai 200433, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 37卷 / 03期

关键词：

incompressible limit; global existence; Oldroyd model;

D O I：

10.1137/040618813

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will study the Oldroyd model describing fluids with viscoelastic properties. Global classical solutions for the two-dimensional incompressible Oldroyd model with small initial displacements are shown to exist via the incompressible limit. The main difficulty is the lack of the damping mechanism on the deformation tensor.

引用

页码：797 / 814

页数：18

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