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Abstrakty
We consider the stationary flow of a heat conducting Power Law shear thinning fluid in a bounded domain in R2. We present an elementary proof of existence of at least one weak solution.
Wydawca
Czasopismo
Rocznik
Tom
Strony
141--151
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Institute of Applied Mathematics Warsaw University Banacha 22 02-097 Warsaw, Poland, witeks@mimuw.edu.pl
Bibliografia
- [1] Adams, R. A., Sobolev Spaces, Academic Press, New York, 1975.
- [2] Baranger, J., Mikelic, A., Stationary solutions to a quasi-Newtonian flow with viscous heating, Math. Models Methods Appl. Sci. 5(6) (1995), 725-738.
- [3] Boukrouche, M., Lukaszewicz, G., The stationary Stefan problem with convection governed, by nonlinear Darcy’s law, Math. Methods Appl. Sci. 22 (1999), 563-585.
- [4] Clopeau, Th., Mikelic, A., Nonstationary flows with viscous heating effects, Elasticité, viscoélasticité et contrôle optimal (Lyon, 1995), 55-63, ESAIM Proc. 2, Soc. Math. Appl. Indust., Paris, 1997.
- [5] Gilbert, R. P., Shi, P., Nonisothermal, nonNewtonian Hele-Shaw flows. Part II, Nonlinear Anal. 27(5) (1996), 539-559.
- [6] Lions, J. L., Quelques Méthodes de Resolution des Problèmes aux Limites Nonlineares, Dunod, Gauthier-Villars, Paris, 1969.
- [7] Morrey, Ch. B., Multiple Integrals in the Calculus of Variations, Springer, Berlin, 1966.
- [8] Temam, R., Navier-Stokes Equations. Theory and Numerical Analysis, Stud. Math. Appl. 2, North-Holland, Amsterdam, 1979.
- [9] Wardi, S., A convergence result for an iterative method, for the equations of stationary quasi-Newtonian flow with temperature dependent viscosity, RAIRO Modél. Math. Anal. Numér. 32(4) (1998), 391-404.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD6-0014-0009