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Hemivariational inequalities for stationary Navier–Stokes equations
- Source :
-
Journal of Mathematical Analysis & Applications . Jun2005, Vol. 306 Issue 1, p197-217. 21p. - Publication Year :
- 2005
-
Abstract
- Abstract: In this paper we study a class of inequality problems for the stationary Navier–Stokes type operators related to the model of motion of a viscous incompressible fluid in a bounded domain. The equations are nonlinear Navier–Stokes ones for the velocity and pressure with nonstandard boundary conditions. We assume the nonslip boundary condition together with a Clarke subdifferential relation between the pressure and the normal components of the velocity. The existence and uniqueness of weak solutions to the model are proved by using a surjectivity result for pseudomonotone maps. We also establish a result on the dependence of the solution set with respect to a locally Lipschitz superpotential appearing in the boundary condition. [Copyright &y& Elsevier]
- Subjects :
- *PARTIAL differential equations
*BOUNDARY value problems
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 306
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 17796792
- Full Text :
- https://doi.org/10.1016/j.jmaa.2004.12.033