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Optimization of a singular flow in a porous medium
Author(s) -
Beldiman M.,
Boacă Ioana,
Marinoschi G.
Publication year - 2013
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201200178
Subject(s) - porous medium , degenerate energy levels , flow (mathematics) , domain (mathematical analysis) , mathematical optimization , optimization problem , state (computer science) , optimal control , porosity , mathematics , computer science , mathematical analysis , physics , algorithm , geology , geometry , geotechnical engineering , quantum mechanics
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.