The incompressible Navier-Stokes system with time-dependent Robin-type   boundary conditions
  We show that the incompressible 3D Navier-Stokes system in a C 1;1 bounded domain or a bounded convex domain with a non penetration condition u = 0 at the boundary @ together with a time-dependent Robin boundary condition of the type curl u = (t)u on @ admits a solution with enough regularity provided the initial condition is small enough in an appropriate functional space. 
Sylvie Monniaux (I2M), El Maati Ouhabaz (IMB)
math.AP