### Friday, May 8

## IP7

On the Control of Incompressible Viscous Flow Modeled by the Navier-Stokes Equations and Related Problems

3:00 PM-4:00 PM

*Chair: William W. Hager, University of Florida*

*Room: Salon D*

The main goal of this lecture is to address the use of computational methods in controllability and stabilization issues for systems modeled by nonlinear partial differential equations. The speaker will consider, in particular, controllability problems for the Kuramoto-Sivashinsky equation modeling some combustion phenomena and drag reduction problems for flow past airfoils modeled by the Navier-Stokes equations. In particular, he shall observe, on the basis of our numerical result, that there are situations associated with the above problems where instability enhances controllability.

**Roland Glowinski**

*Department of Mathematics, University of Houston*

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*tjf, 11/25/97*