On Jeffreys model of heat conduction

Maksymilian Dryja, and Krzysztof Moszyński. "On Jeffreys model of heat conduction." Applicationes Mathematicae 28.3 (2001): 329-351. <http://eudml.org/doc/279338>.

@article{MaksymilianDryja2001,
abstract = {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.},
author = {Maksymilian Dryja, Krzysztof Moszyński},
journal = {Applicationes Mathematicae},
keywords = {weak formulation; mixed hyperbolic-parabolic equation; stability; convergence; finite difference approximation; Jeffreys model; heat conduction; initial-boundary value problem; weak solution},
language = {eng},
number = {3},
pages = {329-351},
title = {On Jeffreys model of heat conduction},
url = {http://eudml.org/doc/279338},
volume = {28},
year = {2001},
}

TY - JOUR
AU - Maksymilian Dryja
AU - Krzysztof Moszyński
TI - On Jeffreys model of heat conduction
JO - Applicationes Mathematicae
PY - 2001
VL - 28
IS - 3
SP - 329
EP - 351
AB - 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.
LA - eng
KW - weak formulation; mixed hyperbolic-parabolic equation; stability; convergence; finite difference approximation; Jeffreys model; heat conduction; initial-boundary value problem; weak solution
UR - http://eudml.org/doc/279338
ER -