Asymptotic analysis of a boundary optimal control problem on a general branched structure

DOI10.1002/mma.5748zbMath1434.35262OpenAlexW2957125117WikidataQ127470364 ScholiaQ127470364MaRDI QIDQ5214882

Abu Sufian, S. Aiyappan, A. K. Nandakumaran

Publication date: 5 February 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5748

zbMATH Keywords

optimal controlhomogenizationasymptotic analysisunfolding operatoroscillating boundary domain

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) 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)

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Homogenization of a boundary optimal control problem governed by Stokes equations ⋮ Exact internal controllability for a problem with imperfect interface ⋮ Homogenization of elliptic PDE with L 1 source term in domains with boundary having very general oscillations ⋮ Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients ⋮ High Contrasting Diffusion in Heisenberg Group: Homogenization of Optimal Control via Unfolding ⋮ Asymptotic analysis of an interior optimal control problem governed by Stokes equations ⋮ Strong contrasting diffusivity in general oscillating domains: homogenization of optimal control problems

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