Existence of Global Weak Solutions for a Viscoelastic Model with Relaxation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)313-326
Journal / PublicationApplicable Analysis
Volume67
Issue number3-4
Publication statusPublished - Dec 1997

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-1542749453&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(649a3a9e-3adb-41fb-8025-40f201cf682b).html

Abstract

In this paper, we consider the Cauchy problem for a vis-coelastic model with relaxation (Formula presented.) with initial data (Formula presented.) are constants. We obtain the (Formula presented.) uni-form a priori estimates for the viscosity solutions (Formula presented.) of the corresponding system with artificial viscosity. Furthermore, the existence of global weak solutions for the Cauchy problem is established by applying the method of compensated compactness.

Research Area(s)

  • Viscoelastic model, relaxation, compensated compactness, weak solution

Citation Format(s)

[ RIS ] [ BibTeX ]

Existence of Global Weak Solutions for a Viscoelastic Model with Relaxation. / YANG, TONG; YAO, ZHENG-AN; ZHU, CHANGJIANG.

In: Applicable Analysis, Vol. 67, No. 3-4, 12.1997, p. 313-326.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review