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Author:

Li, Yuan (Li, Yuan.) | Li, Kaitai (Li, Kaitai.)

Indexed by:

SCIE Scopus

Abstract:

The stationary Navier-Stokes equations with nonlinear slip boundary conditions are investigated in this paper. Because the boundary conditions include the subdifferential property on the part boundary, the variational formulation of this problem is the variational inequality problem of the second kind with Navier-Stokes operator. The main purpose of the paper is to study the existence of the weak solution and the strong solution to this variational inequality problem in terms of the Yosida's regularity method. (C) 2011 Elsevier Inc. All rights reserved.

Keyword:

Navier-Stokes equations Nonlinear slip boundary conditions Strong solution Variational inequality problem

Author Community:

  • [ 1 ] [Li, Yuan] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou, Peoples R China
  • [ 2 ] [Li, Yuan; Li, Kaitai] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China

Reprint Author's Address:

  • Wenzhou Univ, Coll Math & Informat Sci, Wenzhou, Peoples R China.

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Source :

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ISSN: 0022-247X

Year: 2011

Issue: 1

Volume: 381

Page: 1-9

1 . 0 0 1

JCR@2011

1 . 2 2 0

JCR@2019

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 32

SCOPUS Cited Count: 39

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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