The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions
Abstract
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 n.u = 0 at the boundary of Omega together with a time-dependent Robin boundary condition of the type n x curl u = B (t)u admits a solution with enough regularity provided the initial condition is small enough in an appropriate functional space.
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