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

[41] Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit
David, Noemi
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2023, 48 (04) : 678 - 710
[42] Global existence of strong solutions for a general incompressible Oldroyd-B system without clamping mechanism
Zhu, Limei
Huang, Jinrui
APPLIED MATHEMATICS LETTERS, 2022, 127
[43] Existence of Scaling Limit Phase Transition in a Two-Dimensional Random Polymer Model
Lucinger, Luis R.
Vila, R.
MARKOV PROCESSES AND RELATED FIELDS, 2019, 25 (05) : 863 - 878
[44] The inviscid limit for two-dimensional incompressible fluids with unbounded vorticity
Kelliher, JP
MATHEMATICAL RESEARCH LETTERS, 2004, 11 (04) : 519 - 528
[45] GLOBAL CLASSICAL SOLUTIONS TO TWO-DIMENSIONAL CHEMOTAXIS-SHALLOW WATER SYSTEM
Yang, Ying
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (05): : 2625 - 2643
[46] Trochoidal Solutions to the Incompressible Two-Dimensional Euler Equations
Constantin, Adrian
Strauss, Walter A.
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2010, 12 (02) : 181 - 201
[47] Existence of travelling wave front solutions of a two-dimensional anisotropic model
Deng, Shengfu
APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 : 503 - 515
[48] Trochoidal Solutions to the Incompressible Two-Dimensional Euler Equations
Adrian Constantin
Walter A. Strauss
Journal of Mathematical Fluid Mechanics, 2010, 12 : 181 - 201
[49] NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE OF GLOBAL CLASSICAL-SOLUTIONS OF TWO-DIMENSIONAL EULER EQUATIONS IN TIME-DEPENDENT DOMAIN
MU, M
KEXUE TONGBAO, 1988, 33 (15): : 1295 - 1299
[50] EXISTENCE OF SOLUTIONS FOR AN OLDROYD MODEL OF VISCOELASTIC FLUIDS
De Araujo, Geraldo M.
De Menezes, Silvano B.
Marinho, Alexandro O.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,

← 1 2 3 4 5 →