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A Distributed Control Problem for Two Coupled Fluids in a Porous Medium

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Publication:2810061
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DOI10.1137/110857945zbMath1344.49005OpenAlexW2092711982MaRDI QIDQ2810061

Ruxandra Stavre

Publication date: 31 May 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110857945

zbMATH Keywords

necessary optimality conditionsporous mediumvariational problemDarcy's lawa-priori regularitydistributed control problemtemperature jump conditioninteraction problemnon-miscible fluidspenalized control problem


Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Applications of operator theory in systems, signals, circuits, and control theory (47N70)


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Optimal boundary control for the stationary Boussinesq equations with variable density, Bilinear optimal control problem for the stationary Navier-Stokes equations with variable density and slip boundary condition



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