Stokes and NavierStokes equations with Robin boundary conditions in a halfspacePreprint Series # 633 This is the latest version of this item.
AbstractWe study the initialboundary value problem for the Stokes equations with Robin boundary conditions in the halfspace $\mathbb R^n_+$. It is proved that the associated Stokes operator is sectorial and admits a bounded \HIC{} on $L^q_\sigma(\mathbb R^n_+)$. As an application we prove also a local existence result for the nonlinear initial value problem of the NavierStokes equations with \RBC.
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