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Author:

Liu, J. (Liu, J..) | Wang, S. (Wang, S..) | Xu, W.-Q. (Xu, W.-Q..)

Indexed by:

EI Scopus SCIE

Abstract:

Recently, Niche [J. Differential Equations, 260 (2016), 4440-4453] established upper bounds on the decay rates of solutions to the 3D incompressible Navier-Stokes-Voigt equations in terms of the decay character r∗ of the initial data in H1 (R3). Motivated by this work, we focus on characterizing the large-time behavior of all space-time derivatives of the solutions for the 2D case and establish upper bounds and lower bounds on their decay rates by making use of the decay character and Fourier splitting methods. In particular, for the case - n 2 < r∗1, we verify the optimality of the upper bounds, which is new to the best of our knowledge. Similar improved decay results are also true for the 3D case. © 2024 - IOS Press. All rights reserved.

Keyword:

Fourier splitting Incompressible Navier-Stokes-Voigt equations large-time behavior decay characterization

Author Community:

  • [ 1 ] [Liu J.]Department of Mathematics, School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Wang S.]Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China
  • [ 3 ] [Xu W.-Q.]Department of Mathematics and Statistics, California State University, Long Beach, 90840, CA, United States

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Source :

Asymptotic Analysis

ISSN: 0921-7134

Year: 2024

Issue: 1-2

Volume: 139

Page: 61-87

1 . 4 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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