Special Session 26: 

Interior regularity to the steady incompressible fluids with non-standard growth

Hyeong-Ohk Bae
Ajou University
Korea
Co-Author(s):    H. So, Y. Young
Abstract:
We consider weak solutions to the equations of stationary motion of a class of non-Newtonian fluids which includes the power law model. The power depends on the spatial variable, which is motivated by electrorheological fluids. We prove the existence of second order derivatives of weak solutions in the shear thinning cases.