Boundary Regularity of Shear Thickening Viscosity as the Stable Stokes Type Flow

Abstract

In our examination, we are keen on the boundary routineness of frail answers for fixed Stokes type conditions with shear subordinate thickness. We utilize a weighted guess at the boundary to get the Holder congruity of the answer for the shear thickening liquid without the convection term. Accordingly, we can reproduce framework routineness in the typical heading utilizing unrelated interpretations and the anisotropic implanting hypothesis. There are also answers for the steady and unstable Navier-Stokes problems that are added up. When the supposed Navier boundary condition is put on body B, the boundary condition decision is unusual. Under the assumptions of routineness and smallness, The well-pawedness of the time-dependent Navier-Stokes conditions with mixed Navier and Dirichlet type boundary conditions is established. The drag form minimization problem has a first-order essential optimality condition that we investigate issue after proving the state system's shape differentiability.