The Stokes Equations

Part 1 The stationary equations: on hydrodynamical potential theory boundary integral operators existence and uniqueness in Sobolev spaces the divergence operator estimates in exterior domains. Part 2 The resolvent equations: the fundamental tensors properties of the boundary layer potentials interior and exterior boundary value problems asymptotics of the solution norm estimates independent of the resolvent parameter. Part 3 The nonstationary equations: on the boundedness of the semigroup a semidiscrete approximation procedure the method of Crank-Nicholson time delay for the nonlinear equations. (Part contents).