On boundary regularity of the Navier-Stokes equations
نویسنده
چکیده
We study boundary regularity of weak solutions of the Navier-Stokes equations in the half-space in dimension . We prove that a weak solution which is locally in the class with near boundary is Hölder continuous up to the boundary. Our main tool is a point-wise estimate for the fundamental solution of the Stokes system, which is of independent interest.
منابع مشابه
On regularity of stationary Stokes and Navier-Stokes equations near boundary
On regularity of stationary Stokes and Navier-Stokes equations near boundary KYUNGKEUN KANG Received: date / Revised version: date – c Springer-Verlag 2001 Abstract. We obtain local estimates of the steady-state Stokes system “without pressure” near boundary. As an application of the local estimates, we prove the partial regularity up to the boundary for the stationary Navier-Stokes equations i...
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تاریخ انتشار 2001