Optimal Control and Homogenization in a Mixture of Fluids Separated by a Rapidly Oscillating Interface
Southwest Texas State University, Department of Mathematics
We study the limiting behaviour of the solution to optimal control problems in a mathematical mixture of two homogeneous viscous fluids. These fluids are separated by a rapidly oscillating periodic interface with constant amplitude. We show that the limit of the optimal control is the optimal control for the limiting problem.
Optimal control, Homogenization, Stokes equations
Zoubairi, H. (2002). Optimal control and homogenization in a mixture of fluids separated by a rapidly oscillating interface. <i>Electronic Journal of Differential Equations, 2002</i>(27), pp. 1-32.
Attribution 4.0 International