Large time behaviour of solutions to the 3D-NSE in Xσ spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:482

Article

Benameur, Jamel¹  Bennaceur, Mariem¹ 

[1] Fac Sci Gabes, Dept Math, Res Lab Math & Applicat, LR17ES11, Gabes, Tunisia

关键词: Navier-Stokes Equations;    Critical spaces;    Long time decay;   

DOI  :  10.1016/j.jmaa.2019.123566

来源: Elsevier

【 摘 要 】

In this paper we study the incompressible Navier-Stokes equations in L-2(R-9) boolean AND X-1(R-3). In the global existence case, we establish that if the solution u is in the space C(R+, L-2 boolean AND X-1), then for sigma > -3/2 the decay of parallel to u(t)parallel to X-sigma, is at least of the order of t-(2(sigma+3))(/4). Fourier analysis and standard techniques are used. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free