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Author:

Shao, S. (Shao, S..) | Ge, Y. (Ge, Y..) | Wang, S. (Wang, S..) | Xu, W. (Xu, W..)

Indexed by:

Scopus PKU CSCD

Abstract:

A model of inhomogeneous three-dimensional Navier-Stokes equations was studied in this paper. By using the energy method, Littlewood-Paley paraproduct decomposition techniques and Sobolev embedding theorem study of the global regularity of solutions were adopted. The dissipative term Δu in the classical inhomogeneous Navier-Stokes equations is replaced by -D2u and a new Navier-Stokes equations model was obtained, where D was a Fourier multiplier whose symbol is m(ξ)=|ξ|5/4. Blow-up criterion and global regularity of this model were proved for the initial data (ρ0, u0)∈H3/2+ε×Hδ, where ε and δ are arbitrary small positive constants. © 2017, Editorial Department of Journal of Beijing University of Technology. All right reserved.

Keyword:

Blow-up criterion; Global regularity; Inhomogeneous Navier-Stokes equations; Littlewood-Paley paraproduct decomposition

Author Community:

  • [ 1 ] [Shao, S.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Shao, S.]School of Mathematics and Statistics, Nanyang Normal University, Nanyang, Henan 473061, China
  • [ 3 ] [Ge, Y.]School of Mathematics and Statistics, Nanyang Normal University, Nanyang, Henan 473061, China
  • [ 4 ] [Wang, S.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China
  • [ 5 ] [Xu, W.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

Reprint Author's Address:

  • [Ge, Y.]School of Mathematics and Statistics, Nanyang Normal UniversityChina

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Source :

Journal of Beijing University of Technology

ISSN: 0254-0037

Year: 2017

Issue: 2

Volume: 43

Page: 320-326

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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