24 November 2016
I will present a new result which was established in collaboration with M. Bulıcek and J. Burczak. We established an existence, uniqueness and optimal regularity results for very weak solutions to certain incompressible non-Newtonian ﬂuids. We introduce structural assumptions of Uhlenbeck type on the stress tensor. These as-sumptions are sufﬁcient and to some extend also necessary to built a uniﬁed theory. Our approach leads qualitatively to the same so called Lp-theory as the one that is available for the linear Stokes equation.
- PDE CDT Lunchtime Seminar