Optimization of a singular flow in a porous medium
Miruna Beldiman, Ioana Lucia Boaca, Gabriela Marinoschi · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2012
Abstract We address an optimization problem related to a diffusive flow in a nonhomogeneous porous medium. More exactly, the purpose is to control by a flow parameter an optimal average of the solution in a subset of the domain. The state model is degenerate and ill‐posed and this requires to develop a technique of optimization for a singular state system.