A direct construction of very smooth local Navier-Stokes solutions |
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Authors: | Reimund Rautmann |
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Affiliation: | (1) Fachbereich Mathematik-Informatik der UniversitÄt, Warburger Str. 100, D 33098 Paderborn, Germany |
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Abstract: | We will consider Galerkin approximations to the solution of the Navier-Stokes initial boundary-value problem in three dimensions. Uniform convergence (locally in time) will be proved with respect to the same norm (being stronger than theH2-norm) in which the solution's initial value is bounded. The result is the best possible if we will avoid a nonlinear, nonlocal compatibility condition for the initial value.Dedicated to Professor Robert Finn on the occasion of his 70th birthday |
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Keywords: | 35Q30 76D05 47H20 |
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