Existence of local strong solutions for motions of electrorheological fluids in three dimensions
We prove for three-dimensional domains the existence of local strong solutions to systems of nonlinear partial differential equations with p(?) p ( ? ) -structure, p??p(?)?p0 p ? ? p ( ? ) ? p 0 , and Dirichlet boundary conditions for p ? > 9 5 without restriction on the upper bound p0 p 0 . In particular this result is applicable to the motion of electrorheological fluids.
strong solutions electrorheological fluids nonlinear partial differential equation