You are cordially invited to the seminars organized by the Department of Mathematics.
Speaker: Buddhika Priyasad (University of Konstanz)
“Stabilization Problems in Fluid Dynamics”
Abstract: Turbulence is one of the most fascinating and challenging phenomena in nonlinear physical systems. In fluid flows, turbulent behavior can lead to instability and unpredictable dynamics, making its suppression both mathematically and practically important. In this talk, we study turbulent fluid motion inside a bounded domain and investigate how such behavior can be controlled using localized feedback mechanisms acting on a small portion of the boundary. A fundamental challenge is to design control strategies that rely on only finitely many degrees of freedom while still influencing the infinite-dimensional dynamics of the fluid. The construction of such fully finite-dimensional feedback laws has remained an open problem for nearly two decades. We present a positive resolution of this question by developing localized feedback controls that stabilize the flow near an unstable equilibrium with exponential decay. Finally, we discuss how these ideas extend to other fluid-related models exhibiting turbulent dynamics.
Date: February 26, Thursday
Time: 19:00 (Ankara)
Place: Zoom
To request the event link, please send a message to gokhan.yildirim@bilkent.edu.tr