4.7 Article

New a priori estimates for the axisymmetric Navier-Stokes system

Journal

APPLIED MATHEMATICS LETTERS
Volume 92, Issue -, Pages 139-143

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.01.022

Keywords

Axisymmetric Navier-Stokes equations; A priori estimate

Funding

  1. National Natural Science Foundation of China [11761009]

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We show in this paper that r(d)omega(theta) belongs to L infinity (0; infinity; L-2 (R-3)) boolean AND L-2(0, infinity; H-1 (R-3)) for any 3/2 < d <= 3. This improves previous a priori estimate significantly. (C) 2019 Elsevier Ltd. All rights reserved.

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