ON STRONG SOLUTIONS OF THE DIFFERENTIAL EQUATIONS MODELING THE STEADY FLOW OF CERTAIN INCOMPRESSIBLE GENERALIZED NEWTONIAN FLUIDS

摘要

A system of nonautonomous partial differential equations describing the steady flow of an incompressible fluid is considered. The existence of a strong solution of that system is proved under suitable assumptions on the data. In the 2D-case this solution turns out to be of class G1,α.