General minimum principles for quasilinear transport and bioheat equations

Józef Joachim Telega; Maciej Stańczyk

doi:10.1016/j.crme.2004.02.012

General minimum principles for quasilinear transport and bioheat equations
[Principes de minimum généraux pour équations du transport quasi linéaires et de la chaleur non stationaires en biomécanique]

Présenté par : Évariste Sanchez-Palencia

Józef Joachim Telega ¹ ; Maciej Stańczyk ¹

¹ Polish Academy of Sciences, Institute of Fundamental Technological Research, 00-049 Warsaw, Poland

Comptes Rendus. Mécanique, Volume 332 (2004) no. 4, pp. 263-269.

Résumé
Abstract

Le but de la contribution est de donner des principes de minimum pour l'equation du transport (de la chaleur) quasi lineéaire dans le cas stationaire et non stationaire. L'application aux équations de la chaleur, couramment utilisées en biomécanique est esquisée.

The aim of this contribution is to derive minimum principles for quasi-linear linear transport (heat) equations in the steady and nonstationary case. Application to currently used nonstationary bioheat equations is sketched.

Reçu le : 2003-10-20
Accepté le : 2004-01-27
Publié le : 2004-03-16

DOI : 10.1016/j.crme.2004.02.012

Keywords: Heat transfer, Biomechanics, Quasilinear transport equations, Steady and nonstationary case, Bioheat equations, Minimum principles
Mot clés : Transferts thermiques, Biomécanique, Cas stationnaire et non stationnaire, Principes de minimum, Equations de la chaleur en biomécanique

Affiliations des auteurs :

Józef Joachim Telega ¹ ; Maciej Stańczyk ¹

¹ Polish Academy of Sciences, Institute of Fundamental Technological Research, 00-049 Warsaw, Poland

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     title = {General minimum principles for quasilinear transport and bioheat equations},
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Józef Joachim Telega; Maciej Stańczyk. General minimum principles for quasilinear transport and bioheat equations. Comptes Rendus. Mécanique, Volume 332 (2004) no. 4, pp. 263-269. doi : 10.1016/j.crme.2004.02.012. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.02.012/

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