Open AccessON THE NAVIER-STOKES EQUATION WITH SLIP BOUNDARY CONDITIONS OF FRICTION TYPE
Author(s) -
Fouad Saidi
Publication year - 2007
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/1392-6292.2007.12.389-398
Subject(s) - uniqueness , mathematics , slip (aerodynamics) , boundary value problem , compressibility , mathematical analysis , variational inequality , type (biology) , no slip condition , weak solution , free boundary problem , mixed boundary condition , newtonian fluid , robin boundary condition , mechanics , physics , thermodynamics , ecology , biology
In this paper we deal with the boundary value problem for the stationary flow for Newtonian and incompressible fluid governed by the Navier‐Stokes equation with slip boundary conditions of friction type, mostly by means of variational inequalities. Among others, theorems concerning existence and uniqueness of weak solutions are presented.