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

共 50 条

[21] Global existence for the two-dimensional incompressible Euler system in B1∞, 1
Hmidi, T
Keraani, S
COMPTES RENDUS MATHEMATIQUE, 2005, 341 (11) : 655 - 658
[22] EXISTENCE OF WEAK SOLUTIONS TO THE TWO-DIMENSIONAL INCOMPRESSIBLE EULER EQUATIONS IN THE PRESENCE OF SOURCES AND SINKS
Bravin, Marco
Sueur, Franck
ADVANCES IN DIFFERENTIAL EQUATIONS, 2022, 27 (11-12) : 683 - 734
[23] The incompressible limit of solutions of the two-dimensional compressible Euler system with degenerating initial data
Dutrifoy, A
Hmidi, T
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (09) : 1159 - 1177
[24] The incompressible limit of solutions of the two-dimensional compressible Euler system with degenerating initial data
Dutrifoy, A
Hmidi, T
COMPTES RENDUS MATHEMATIQUE, 2003, 336 (06) : 471 - 474
[25] Global existence of classical solutions to two-dimensional Navier-Stokes equations with Cauchy data containing vacuum
Luo, Zhen
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (09) : 1333 - 1352
[26] Global existence of classical solutions for two-dimensional isentropic compressible Navier–Stokes equations with small initial mass
Wei Li
Zhaoyang Shang
Fuquan Tang
Advances in Difference Equations, 2020
[27] Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
Hu, Xianpeng
Lin, Fanghua
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2016, 69 (02) : 372 - 404
[28] A remark on the inviscid limit for two-dimensional incompressible fluids
Chemin, JY
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1996, 21 (11-12) : 1771 - 1779
[29] EXISTENCE OF GLOBAL-SOLUTIONS FOR TWO-DIMENSIONAL VISCOUS COMPRESSIBLE FLOWS
PADULA, M
JOURNAL OF FUNCTIONAL ANALYSIS, 1986, 69 (01) : 1 - 20
[30] LOCAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE TWO-DIMENSIONAL VISCOUS COMPRESSIBLE FLOWS WITH VACUUM
Luo, Zhen
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2012, 10 (02) : 527 - 554

← 1 2 3 4 5 →