[00519] Non-Newtonian fluids with discontinuous-in-time stress tensor.
Session Time & Room : 5D (Aug.25, 15:30-17:10) @G502
Type : Contributed Talk
Abstract : We consider the system of equations describing the flow of incompressible fluids in bounded domain. Here, the Cauchy stress tensor has asymptotically $(s-1)$-growth with the parameter $s$ depending on the spatial and time variable. We do not assume any smoothness of $s$ with respect to time variable. Such a setting is a natural choice if the material properties are instantaneous. We establish the existence of weak solution provided that $s\ge\frac{3d+2}{d+2}$.