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Global solutions for quasi-linear hyperbolic-parabolic coupled systems of thermoviscoelasticity.

Authors :
Dharmawardane, P.M.N.
Kawashima, S.
Shibata, Y.
Source :
Journal of Differential Equations. Oct2024, Vol. 405, p76-102. 27p.
Publication Year :
2024

Abstract

This paper is devoted to the analysis of an n -dimensional model which describes thermoviscoelastic materials. With careful use of the standard energy method, we obtain the global existence and asymptotic decay of solutions for n ≥ 1 , provided that the initial data are smooth and sufficiently small in L 2 -Sobolev space. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
405
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
178292325
Full Text :
https://doi.org/10.1016/j.jde.2024.05.041