Beschreibung:
<p style='text-indent:20px;'>The flow of a homogeneous, incompressible and heat conducting fluid is here described by coupling a quasilinear Navier-Stokes-type equation with the equation of heat diffusion, convection and buoyancy. This model is formulated variationally as a problem of <i>null-minimization.</i></p><p style='text-indent:20px;'>First we review how De Giorgi's theory of <i><inline-formula><tex-math id="M3">\begin{document}$ \Gamma $\end{document}</tex-math></inline-formula>-convergence</i> can be used to prove the compactness and the stability of evolutionary problems under nonparametric perturbations. Then we illustrate how this theory can be applied to the our problem of fluid and heat flow, and to more general coupled flows.</p>