Homogenization of optimal control problems on curvilinear networks with a periodic microstructure -- results on \(S\)-homogenization and \(\Gamma\)-convergence

DOI10.3934/naco.2017003zbMath1361.49004OpenAlexW2589262207MaRDI QIDQ515160

Erik Kropat

Publication date: 13 March 2017

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2017003

zbMATH Keywords

microstructuresnetworks\(\Gamma\)-convergenceoptimal control problemstwo-scale convergence\(S\)-homogenization

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (1)

Bridging the gap between variational homogenization results and two-scale asymptotic averaging techniques on periodic network structures

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