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Author:

Song, Xue-Li (Song, Xue-Li.) | Hou, Yan-Ren (Hou, Yan-Ren.)

Indexed by:

SCIE Scopus

Abstract:

In this paper, we show that the strong solution of the three-dimensional Navier-Stokes equations with damping alpha|u|(beta-1)u (alpha > 0, 7/2 <= beta <= 5) has global attractors in V and H(2)(Omega) when initial data up E V, where Omega subset of R(3) is bounded.

Keyword:

Damping Global attractor Navier-Stokes equation Strong solution Weak solution

Author Community:

  • [ 1 ] [Song, Xue-Li; Hou, Yan-Ren] Xi An Jiao Tong Univ, Coll Sci, Xian 710049, Peoples R China
  • [ 2 ] [Song, Xue-Li] Xian Univ Sci & Technol, Coll Sci, Xian 710054, Peoples R China

Reprint Author's Address:

  • Xi An Jiao Tong Univ, Coll Sci, Xian 710049, Peoples R China.

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Source :

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

ISSN: 1078-0947

Year: 2011

Issue: 1

Volume: 31

Page: 239-252

0 . 9 1 3

JCR@2011

1 . 3 9 2

JCR@2020

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 31

SCOPUS Cited Count: 47

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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