Geodesic
Nonstationary flows with viscous heating effects
Thierry Clopeau1 ; Andro Mikelic1
1Laboratoire d'Analyse Numérique, Bât. 101, Université Lyon 1, 43 bd. du 11 novembre 1918, 69622 Villeurbanne Cedex, France
ESAIM. Proceedings, Tome 2 (1997), pp. 55-63
Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

The system of equations describing a nonstationary flow of a quasi-newtonian fluid, with temperature dependent viscosity and with the viscous heating, is considered. Existence of at least one weak solution is proved, i.e. we get existence of at least one velocity field having finite energy and existence of a nonnegative temperature field. Its regularity is a consequence of the nonnegative forcing term generated by the viscous heating and being only integrable.
DOI : 10.1051/proc:1997014

Thierry Clopeau  1   ; Andro Mikelic  1

1 Laboratoire d'Analyse Numérique, Bât. 101, Université Lyon 1, 43 bd. du 11 novembre 1918, 69622 Villeurbanne Cedex, France 
@article{EP_1997_2_a2,
     author = {Thierry Clopeau and Andro Mikelic},
     title = {Nonstationary flows with viscous heating effects},
     journal = {ESAIM. Proceedings},
     pages = {55--63},
     year = {1997},
     volume = {2},
     doi = {10.1051/proc:1997014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1997014/}
}
TY  - JOUR
AU  - Thierry Clopeau
AU  - Andro Mikelic
TI  - Nonstationary flows with viscous heating effects
JO  - ESAIM. Proceedings
PY  - 1997
SP  - 55
EP  - 63
VL  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:1997014/
DO  - 10.1051/proc:1997014
LA  - en
ID  - EP_1997_2_a2
ER  - 
%0 Journal Article
%A Thierry Clopeau
%A Andro Mikelic
%T Nonstationary flows with viscous heating effects
%J ESAIM. Proceedings
%D 1997
%P 55-63
%V 2
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:1997014/
%R 10.1051/proc:1997014
%G en
%F EP_1997_2_a2
Thierry Clopeau; Andro Mikelic. Nonstationary flows with viscous heating effects. ESAIM. Proceedings, Tome 2 (1997), pp. 55-63. doi: 10.1051/proc:1997014

Cité par Sources :