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oai:docta.ucm.es:20.500.14352/534342023-09-07T17:56:26Zcom_20.500.14352_14col_20.500.14352_21

Stopping a Viscous Fluid by a Feedback Dissipative Field: Thermal Effects without Phase Changing Antontsev, S.N. Díaz Díaz, Jesús Ildefonso Oliveira, H.B. de 53 Non-Newtonian fluids nonlinear thermal diffusion equations feedback dissipative field energy method heat and mass transfer localization effect. Física (Física) 22 Física We show how the action on two simultaneous effects (a suitable coupling about velocity and temperature and a low range of temperature but upper that the phase changing one) may be responsible of stopping a viscous fluid without any changing phase. Our model involves a system, on an unbounded pipe, given by the planar stationary Navier-Stokes equation perturbed with a sublinear term f(x, θ, u) coupled with a stationary (and possibly nonlinear) advection diffusion equation for the temperature θ.After proving some results on the existence and uniqueness of weak solutions we apply an energy method to show that the velocity u vanishes for x large enough. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T13:42:04Z 2023-06-20T13:42:04Z 2005 book part https://hdl.handle.net/20.500.14352/53434 XXXX-XXXX eng Progress in Nonlinear Differential Equations and Their Applications open access application/pdf Birkhäuser