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Time regularity of the densities for the Navier–Stokes equations with noise

Time regularity of the densities for the Navier–Stokes equations with noise We prove that the density of the law of any finite-dimensional projection of solutions of the Navier–Stokes equations with noise in dimension three is Hölder continuous in time with values in the natural space L 1. When considered with values in Besov spaces, Hölder continuity still holds. The Hölder exponents correspond, up to arbitrarily small corrections, to the expected, at least with the known regularity, diffusive scaling. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Time regularity of the densities for the Navier–Stokes equations with noise

Journal of Evolution Equations , Volume 16 (3) – Jan 5, 2016

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References (25)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer International Publishing
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-015-0310-6
Publisher site
See Article on Publisher Site

Abstract

We prove that the density of the law of any finite-dimensional projection of solutions of the Navier–Stokes equations with noise in dimension three is Hölder continuous in time with values in the natural space L 1. When considered with values in Besov spaces, Hölder continuity still holds. The Hölder exponents correspond, up to arbitrarily small corrections, to the expected, at least with the known regularity, diffusive scaling.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Jan 5, 2016

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