Stokes problem

This thesis consists of six chapters. In the first chapter, we give the necessary preliminary results. In the second chapter, we introduced the Stokes problem, Schur complement operator, Friedrichs operator, inf-sup constant, and give connection between the problems. In chapter 3, we give some results via conformal mapping. In chapter 4, we estimate inf-sup constants of some domain and give a correspondence between Friedrichs operator and Schur complement operator for multiply connected domains. In chapter 5, we investigate the representation formula for Stokes flows via harmonic functions. In chapter 6, we generalize the representations for the solution of Navier?s equation for linear elasticity.