A mixed problem for the steady Navier-Stokes equations
We consider a mixed boundary problem for the Navier-Stokes equations in a bounded Lipschitz two-dimensional domain: we assign a Dirichlet condition on the curve portion of the boundary and a slip zero condition on its straight portion. We prove that the problem has a solution provided the boundary datum and the body force belong to a Lebesgue's space and to the Hardy space respectively. c (c) 2008 Elsevier Ltd. All rights reserved.
two-dimensional bounded domains stokes system stationary navier-stokes equations boundary value problem