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Mathematical analysis of a viscoelastic problem with temperature‐dependent coefficients—Part I: Existence and uniqueness
Author(s) -
Barral Patricia,
NayaRiveiro M. Cristina,
Quintela Peregrina
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.875
Subject(s) - uniqueness , viscoelasticity , quasistatic process , mathematics , superposition principle , mathematical analysis , uniqueness theorem for poisson's equation , thermodynamics , physics
Abstract The aim of this article is to study the quasistatic evolution of a thermoviscoelastic problem whose behaviour law is of the Maxwell–Norton type with coefficients depending on temperature. In this law, the deformation rate tensor is a superposition of viscoelastic and thermal contributions. The existence and uniqueness of the solution is proved. Copyright © 2007 John Wiley & Sons, Ltd.