The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
@article{bwmeta1.element.bwnjournal-article-bcpv27z2p457bwm,
author = {Shibata, Yoshihiro},
title = {Neumann problem for one-dimensional nonlinear thermoelasticity},
journal = {Banach Center Publications},
volume = {27},
year = {1992},
pages = {457-480},
zbl = {0802.35147},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z2p457bwm}
}
Shibata, Yoshihiro. Neumann problem for one-dimensional nonlinear thermoelasticity. Banach Center Publications, Tome 27 (1992) pp. 457-480. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z2p457bwm/
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