Special Session 92: Numerical Methods for SPDEs: Bridging Theory and Applications

Optimal Control of Fluid Flows
Fernanda Cipriano
NOVA University Lisbon
Portugal
Co-Author(s):    
Abstract:
This talk is devoted to the study of optimal control problems in fluid dynamics. The fluid is assumed to occupy a bounded domain of R^d, d=2,3, and may be subject to external Gaussian random forces. Various types of control actions will be considered to achieve a prescribed velocity profile while minimizing the associated cost. Results concerning the existence and uniqueness of optimal solutions will be presented, and appropriate strategies for determining the optimal control will be developed.