Geodesic
Nonstationary flows with viscous heating effects
Thierry Clopeau1 ; Andro Mikelic1
1 Laboratoire 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

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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 
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     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/}
}
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%A Andro Mikelic
%T Nonstationary flows with viscous heating effects
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Thierry Clopeau; Andro Mikelic. Nonstationary flows with viscous heating effects. ESAIM. Proceedings, Tome 2 (1997), pp. 55-63. doi: 10.1051/proc:1997014

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