The classical solvability for a one-dimensional nonlinear thermoelasticity system with the far field degeneracy

We study the local classical solvability of the Cauchy problem to the equations of one-dimensional nonlinear thermoelasticity. The governing model is a coupled system of a nonlinear hyperbolic equation for the displacement and a parabolic equation for the temperature of the elastic material. We allo...

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Bibliographic Details

Published in:	Advanced Nonlinear Studies
Main Authors:	Hu Yanbo, Sugiyama Yuusuke
Format:	Article
Language:	English
Published:	De Gruyter 2024-06-01
Subjects:	thermoelasticity system well-posedness classical solvability degeneracy primary 35a01 secondary 35l20 35m11 35l15
Online Access:	https://doi.org/10.1515/ans-2023-0142