Strong Solutions for the Navier-stokes Equations on Bounded and Unbounded Domains with a Moving Boundary
نویسنده
چکیده
It is proved under mild regularity assumptions on the data that the Navier-Stokes equations in bounded and unbounded noncylindrical regions admit a unique local-in-time strong solution. The result is based on maximal regularity estimates for the in spatial regions with a moving boundary obtained in [16] and the contraction mapping principle.
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