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Stokes and Navier-Stokes equations with perfect slip on wedge type domains
Well-posedness of the Stokes and Navier-Stokes equations subject toperfect slip boundary conditions on wedge type domains is studied.Applying the operator sum method we derive an $\mathcal{H}^\infty$-calculus for theStokes operator in weighted $L^p_\gamma$ spaces (Kondrat'ev spaces)which yields maximal regularity for thelinear Stokes system. This in turn implies mild well-posedness forthe Navier-Stokes …