Generation of optimal periodic oscillations for the control of boundary layers

A Habbal - SIAM journal on control and optimization, 2002 - SIAM
SIAM journal on control and optimization, 2002SIAM
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.
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.
Society for Industrial and Applied Mathematics
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