Stokes and Navier-Stokes equations with a nonhomogeneous divergence condition (Q618962)

The authors study the existence and regularity of solutions to the Navier-Stokes and Oseen equations with nonhomogeneous divergence conditions and nonhomogeneous Dirichlet boundary conditions. The right hand sides of the nonhomogeneous conditions are chosen to satisfy a compatibility condition which is inspired by the divergence theorem. Comparison with related results is done in order to point out the novelty of the paper.