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Strong solutions for the Navier-Stokes equations on bounded and unbounded domains with a moving boundary

Author(s): Juergen Saal

Journal: Electronic Journal of Differential Equations
ISSN 1072-6691

Volume: Conference;
Issue: 15;
Start page: 365;
Date: 2007;
Original page

Keywords: Navier-Stokes equations | moving boundary | maximal regularity.

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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