Stokes’ System in a Domain with Oscillating Boundary: Homogenization and Error Analysis of an Interior Optimal Control Problem

DOI10.1080/01630563.2013.812657zbMath1316.35022OpenAlexW2004615368MaRDI QIDQ5409741

Ravi Prakash, A. K. Nandakumaran, Jean-Pierre Raymond

Publication date: 14 April 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: http://eprints.iisc.ac.in/48541/1/num_fun_ana_opt_35-3_324_2014.pdf

zbMATH Keywords

adjoint systemcorrector estimatesoscillating boundaryinterior control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with control and optimization (35Q93)

Related Items

Homogenization of the Stokes System in a Domain with an Oscillating Boundary, Homogenization of a boundary optimal control problem governed by Stokes equations, Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization, Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients, Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain, Asymptotic analysis of an interior optimal control problem governed by Stokes equations, Strong contrasting diffusivity in general oscillating domains: homogenization of optimal control problems, Asymptotic analysis of Neumann periodic optimal boundary control problem, Homogenization of optimal control problems in perforated domains via periodic unfolding method

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