On two new inequalities for Leray solutions of the Navier-Stokes equations in Rn

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Hagstrom, T.¹  Lorenz, J.²  Zingano, J. P.³  Zingano, P. R.³ 

[1] Southern Methodist Univ, Dept Math, Dallas, TX 75275 USA

[2] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

[3] Univ Fed Rio Grande do Sul, Dept Matemat Pura & Aplicada, BR-91509900 Porto Alegre, RS, Brazil

关键词: Algebraic decay;    Exponential decay;    Leray solutions;    Incompressible Navier-Stokes equations;    Schonbek-Wiegner estimates;   

DOI  :  10.1016/j.jmaa.2019.123601

来源: Elsevier

【 摘 要 】

We derive two asymptotic inequalities, not previously observed, that are valid for spatial derivatives (of arbitrary order) of Leray solutions to the incompressible Navier-Stokes equations in R-n, n <= 4. They are important to the decay investigation of solution derivatives. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free