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Localized smoothing for the Navier–Stokes equations and concentration of critical norms near singularities
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Barker, Tobias and Prange, Christophe (2020) Localized smoothing for the Navier–Stokes equations and concentration of critical norms near singularities. Archive for Rational Mechanics and Analysis, 236 (3). pp. 1487-1541. doi:10.1007/s00205-020-01495-6 ISSN 0003-9527.
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WRAP-Localized-smoothing-Navier–Stokes-critical-norms-singularities-Barker-2020.pdf - Accepted Version - Requires a PDF viewer. Download (1136Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/s00205-020-01495-6
Abstract
This paper is concerned with two dual aspects of the regularity question for the Navier–Stokes equations. First, we prove a local-in-time localized smoothing effect for local energy solutions. More precisely, if the initial data restricted to the unit ball belongs to the scale-critical space
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Navier-Stokes equations, Harmonic analysis, Singularities (Mathematics) | ||||||||||||
Journal or Publication Title: | Archive for Rational Mechanics and Analysis | ||||||||||||
Publisher: | Springer | ||||||||||||
ISSN: | 0003-9527 | ||||||||||||
Official Date: | June 2020 | ||||||||||||
Dates: |
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Volume: | 236 | ||||||||||||
Number: | 3 | ||||||||||||
Page Range: | pp. 1487-1541 | ||||||||||||
DOI: | 10.1007/s00205-020-01495-6 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Reuse Statement (publisher, data, author rights): | This is a post-peer-review, pre-copyedit version of an article published in Archive for Rational Mechanics and Analysis. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00205-020-01495-6 | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Date of first compliant deposit: | 12 November 2020 | ||||||||||||
Date of first compliant Open Access: | 7 March 2021 | ||||||||||||
RIOXX Funder/Project Grant: |
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