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.
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页码：797 / 814
页数：18
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