The Jeffreys model of heat conduction is a system of two partial differential equations of mixed hyperbolic and parabolic character. The analysis of an initial-boundary value problem for this system is given. Existence and uniqueness of a weak solution of the problem under very weak regularity assumptions on the data is proved. A finite difference approximation of this problem is discussed as well. Stability and convergence of the discrete problem are proved.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-8,
author = {Maksymilian Dryja and Krzysztof Moszy\'nski},
title = {On Jeffreys model of heat conduction},
journal = {Applicationes Mathematicae},
volume = {28},
year = {2001},
pages = {329-351},
zbl = {1008.65063},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-8}
}
Maksymilian Dryja; Krzysztof Moszyński. On Jeffreys model of heat conduction. Applicationes Mathematicae, Tome 28 (2001) pp. 329-351. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-8/