Geodesic
Derivation of a homogenized two-temperature model from the heat equation
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 48 (2014) no. 6, pp. 1583-1613

Voir la notice de l'article provenant de la source Numdam

This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description. The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques originating from [D. Cioranescu, F. Murat, Collège de France Seminar, vol. II. Paris 1979-1980; vol. 60 of Res. Notes Math. Pitman, Boston, London (1982) 98-138].

DOI : 10.1051/m2an/2014011
Classification : 35K05, 35B27, 76T05, 35Q79, 76M50
Keywords: heat equation, homogenization, infinite diffusion limit, thermal nonequilibrium models 
@article{M2AN_2014__48_6_1583_0,
     author = {Desvillettes, Laurent and Golse, Fran\c{c}ois and Ricci, Valeria},
     title = {Derivation of a homogenized two-temperature model from the heat equation},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1583--1613},
     publisher = {EDP-Sciences},
     volume = {48},
     number = {6},
     year = {2014},
     doi = {10.1051/m2an/2014011},
     mrnumber = {3264366},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2014011/}
}
TY  - JOUR
AU  - Desvillettes, Laurent
AU  - Golse, François
AU  - Ricci, Valeria
TI  - Derivation of a homogenized two-temperature model from the heat equation
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2014
SP  - 1583
EP  - 1613
VL  - 48
IS  - 6
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2014011/
DO  - 10.1051/m2an/2014011
LA  - en
ID  - M2AN_2014__48_6_1583_0
ER  - 
%0 Journal Article
%A Desvillettes, Laurent
%A Golse, François
%A Ricci, Valeria
%T Derivation of a homogenized two-temperature model from the heat equation
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2014
%P 1583-1613
%V 48
%N 6
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2014011/
%R 10.1051/m2an/2014011
%G en
%F M2AN_2014__48_6_1583_0
Desvillettes, Laurent; Golse, François; Ricci, Valeria. Derivation of a homogenized two-temperature model from the heat equation. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 48 (2014) no. 6, pp. 1583-1613. doi: 10.1051/m2an/2014011

Cité par Sources :