Generation of Optimal Periodic Oscillations for the Control of Boundary Layers
Abderrahmane Habbal · SIAM Journal on Control and Optimization · 2002
This paper is devoted to the optimal design problem of periodic surfaces. Solutions to elliptic partial differential equations occurring in oscillating domains exhibit boundary layer behavior, and we intend to control the first order correctors. Using a mathematical framework derived from the homogenization techniques, the existence of an optimal boundary layer control is proved.