Jürgen Saal
Abstract:
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.
Published February 28, 2007.
Math Subject Classifications: 35Q30, 76D05.
Key Words: Navier-Stokes equations; moving boundary; maximal regularity.
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Jürgen Saal Department of Mathematics and Statistics University of Konstanz Box D 187, 78457 Konstanz, Germany email: juergen.saal@uni-konstanz.de |
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