On hydrodynamics of viscoelastic fluids

Fang Hua Lin; Chun Liu; Ping Zhang

doi:10.1002/cpa.20074

On hydrodynamics of viscoelastic fluids

Fang Hua Lin, Chun Liu, Ping Zhang

Research output: Contribution to journal › Article › peer-review

323 Scopus citations

Abstract

In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with small initial data) of classical solutions for an Oldroyd system without an artificially postulated damping mechanism.

Original language	English (US)
Pages (from-to)	1437-1471
Number of pages	35
Journal	Communications on Pure and Applied Mathematics
Volume	58
Issue number	11
DOIs	https://doi.org/10.1002/cpa.20074
State	Published - Nov 2005

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.1002/cpa.20074

Cite this

@article{0e96cb6137fb414a9953e4499d04f8b6,

title = "On hydrodynamics of viscoelastic fluids",

abstract = "In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with small initial data) of classical solutions for an Oldroyd system without an artificially postulated damping mechanism.",

author = "Lin, {Fang Hua} and Chun Liu and Ping Zhang",

year = "2005",

month = nov,

doi = "10.1002/cpa.20074",

language = "English (US)",

volume = "58",

pages = "1437--1471",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

number = "11",

}

TY - JOUR

T1 - On hydrodynamics of viscoelastic fluids

AU - Lin, Fang Hua

AU - Liu, Chun

AU - Zhang, Ping

PY - 2005/11

Y1 - 2005/11

N2 - In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with small initial data) of classical solutions for an Oldroyd system without an artificially postulated damping mechanism.

AB - In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with small initial data) of classical solutions for an Oldroyd system without an artificially postulated damping mechanism.

UR - http://www.scopus.com/inward/record.url?scp=27844607354&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27844607354&partnerID=8YFLogxK

U2 - 10.1002/cpa.20074

DO - 10.1002/cpa.20074

M3 - Article

AN - SCOPUS:27844607354

SN - 0010-3640

VL - 58

SP - 1437

EP - 1471

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 11

ER -

On hydrodynamics of viscoelastic fluids

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this