Geodesic
On Jeffreys model of heat conduction
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
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

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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 
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     title = {On {Jeffreys} model of heat conduction},
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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

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