Baranger, Jacques; Mikelić, Andro Stationary solutions to a quasi-Newtonian flow with viscous heating. (English) Zbl 0838.76003 Math. Models Methods Appl. Sci. 5, No. 6, 725-738 (1995). Summary: System of equations describing the stationary flow of a quasi-Newtonian fluid, with temperature-dependent viscosity and with a viscous heating, is considered. Existence of at least one appropriate 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 \(L^1\)-forcing term generated by the viscous heating. Cited in 17 Documents MSC: 76A05 Non-Newtonian fluids 35Q35 PDEs in connection with fluid mechanics 80A20 Heat and mass transfer, heat flow (MSC2010) Keywords:existence; forcing term; temperature-dependent viscosity; weak solution; finite energy; regularity × Cite Format Result Cite Review PDF Full Text: DOI