On the stationary flow of the power law fluid in 2D

• Autorzy: Sadowski W.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

non-Newtonian fluid; existence; fixed point argument

PL

płyn nienewtonowski; egzystencja; argument punktu stałego

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2002
• Tom: Vol. 8, nr 1
• Strony: 141--151
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Sadowski W.

• Institute of Applied Mathematics Warsaw University Banacha 22 02-097 Warsaw, Poland,

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.