Geodesic
On Jeffreys model of heat conduction
Maksymilian Dryja1 ; Krzysztof Moszy/nski2
1Department of Mathematics, Computer Science and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
2Department of Mathematics Computer Science and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
Applicationes Mathematicae, Tome 28 (2001) no. 3, pp. 329-351
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/am28-3-8
Keywords: jeffreys model heat conduction system partial differential equations mixed hyperbolic parabolic character analysis initial boundary value problem system given existence uniqueness weak solution problem under weak regularity assumptions proved finite difference approximation problem discussed stability convergence discrete problem proved

Maksymilian Dryja  1   ; Krzysztof Moszy/nski  2

1 Department of Mathematics, Computer Science and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
2 Department of Mathematics Computer Science and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland 
@article{10_4064_am28_3_8,
     author = {Maksymilian Dryja and Krzysztof Moszy/nski},
     title = {On {Jeffreys} model of heat conduction},
     journal = {Applicationes Mathematicae},
     pages = {329--351},
     year = {2001},
     volume = {28},
     number = {3},
     doi = {10.4064/am28-3-8},
     zbl = {1008.65063},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am28-3-8/}
}
TY  - JOUR
AU  - Maksymilian Dryja
AU  - Krzysztof Moszy/nski
TI  - On Jeffreys model of heat conduction
JO  - Applicationes Mathematicae
PY  - 2001
SP  - 329
EP  - 351
VL  - 28
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am28-3-8/
DO  - 10.4064/am28-3-8
LA  - en
ID  - 10_4064_am28_3_8
ER  - 
%0 Journal Article
%A Maksymilian Dryja
%A Krzysztof Moszy/nski
%T On Jeffreys model of heat conduction
%J Applicationes Mathematicae
%D 2001
%P 329-351
%V 28
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/am28-3-8/
%R 10.4064/am28-3-8
%G en
%F 10_4064_am28_3_8
Maksymilian Dryja; Krzysztof Moszy/nski. On Jeffreys model of heat conduction. Applicationes Mathematicae, Tome 28 (2001) no. 3, pp. 329-351. doi: 10.4064/am28-3-8

Cité par Sources :