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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.
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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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