From: BrendaSueCook (brenda@math.missouri.edu)
Date: Mon Apr 09 2007 - 14:23:58 CDT
Special Dynamical Systems Seminar
Department of Mathematics
A.V. Fursikov
Moscow State University
Optimal drag reduction for a body
moving in a fluid
Abstract: We consider the optimal control problem for a fluid flowing
around a body $B$ and seek to minimize drag with the help of a control
defined on the boundary $\partial B$. The non-stationary problem is
studied.
The correct mathematical formulation of this problem requires both a
trace theorem for time-dependent solenoidal vector fields and a theory
of boundary value problems for the Navier-Stokes equations with non-zero
boundary values that are appropriate for control problems with boundary
control.
An existence theorem for the optimal control problem is obtained and the
corresponding optimality system is derived. We consider the case of
3-dimensional fluid flows and look for solutions in the class of smooth
solenoidal vector fields (where a uniqueness theorem for 3-dimensional
Navier-Stokes equations is proved.)
Thursday, April 12
11:00 a.m. - 12:15 p.m.
106 Stewart
(campus map for Stewart http://map.missouri.edu/memorial-union-north.htm)
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