Mathematical analysis of the (p-q) coupled fluid-energy problems whose models care on:- incompressible non-Newtonian fluids with p-growth- generalized Fourier law with q-growth- frictional boundary condition for the fluid (s-growth)- energy boundary condition with convective-radiative effect (l-growth) - Joule effect.The parameters, viscosity, friction yield and diffusity, are space and temperature dependent.At steady-state, the existence result is based on the Tychonov--Kakutani--Glicksberg fixed point theorem.Related problems are discussed, in particular, the asymptotic limit of high diffusity for the Bingham--Fourier model (p=1, q=2) under the Coulomb friction law (s=1).
Presented at Seminario del Departamento de Ecuaciones Diferenciales y Análisis Numérico of Universidad de Sevilla http://grupo.us.es/edan/php/main.php?page=mostrar_anuncio&menu=anuncios&idevent=4
Presented at Seminario del Departamento de Ecuaciones Diferenciales y Análisis Numérico of Universidad de Sevilla http://grupo.us.es/edan/php/main.php?page=mostrar_anuncio&menu=anuncios&idevent=4