Electronic Journal of Differential Equations,
Conference 01 (1998), pp. 137-148.

Title: On variational inequalities associated with the Navier-Stokes equation:  Some Bifurcation Problems 


Authors: Vy Khoi Le (Univ. of Missouri - Rolla, MO, USA) 
         Klaus Schmitt (Univ. of Utah, Salt Lake City, UT, USA)

 
Abstract: This paper is devoted to a study of bifurcation
 problems for the steady states of Navier-Stokes
 problems where several types of
 constraints are imposed.  In an abstract setting
 this leads to the study of bifurcation problems
 for variational inequalities. We show
 how the tools developed in \cite{le:gbv97} may
 be employed to analyze these problems.  % Upto here is the abstract
 Some of the problems considered here,
 have already been analyzed in 
 \cite{le:gbv97} for nonlinear versions of
 the Stokes equation (see \cite[pp. 72-77]{le:gbv97});
but we expand considerably upon the development there. 
 We first give the statement of the problem and then
 provide several constraint situations where bifurcation results
 may be obtained.



Published November 12, 1998.
Math Subject Classifications: 35A15, 35Q30, 49J40
Key Words: Navier-Stokes; variational inequalities; bifurcation problems.