Resumen de Analysis of a three field formulation for the Stokes Equations induced by non standard boundary conditions

Mohamed Amara, Eliseo Chacón Vera , David Trujillo

• This note deals with the boundary value problem for Stokes equations on a two dimensional polygonal domain when non standard boundary conditions are given. We consider the cases when pressure and normal or tangential components of the velocity are given in different parts of the boundary and solve the problem with a minimal regularity. We introduce the variational mixed formulation of the problem appropriated to the given boundary conditions. In this formulation the principal unknowns are the pressure and the vorticity and the multiplier is the velocity.