Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization
DOI10.1137/140994575zbMath1327.35022OpenAlexW1867671219MaRDI QIDQ3451764
Ravi Prakash, Bidhan Chandra Sardar, A. K. Nandakumaran
Publication date: 18 November 2015
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140994575
adjoint systemoscillating boundaryoptimal control and optimal solutionunfolding operatorboundary unfoldinginternal periodic control
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)
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Cites Work
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- Asymptotic analysis and error estimates for an optimal control problem with oscillating boundaries
- The best Sobolev trace constant in a domain with oscillating boundary
- On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries
- Homogenization of oscillating boundaries
- The general theory of homogenization. A personalized introduction
- Boundary layers and homogenization of transport processes
- Asymptotic behaviour of non-homogeneous Neumann problems in domains with oscillating boundary
- Optimal control on perforated domains
- Effective boundary conditions for laminar flows over periodic rough boundaries
- Boundary layer correctors for the solution of Laplace equation in a domain with oscillating boundary
- Periodic unfolding and homogenization
- Boundary homogenization and Neumann boundary value problem
- Homogenization and behaviour of optimal controls for the wave equation in domains with oscillating boundary
- Homogenization of low-cost control problems on perforated domains
- Exact internal controllability for a hyperbolic problem in a domain with highly oscillating boundary
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Boundary layer tails in periodic homogenization
- Homogenization of an Optimal Control Problem
- Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary
- Optimal control for a parabolic problem in a domain with highly oscillating boundary
- Optimal control problem for the time-dependent Kirchhoff–Love plate in a domain with rough boundary
- Asymptotic behavior of the solutions of a degenerating elliptic equation in a thin multidomain
- The Periodic Unfolding Method in Homogenization
- RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS: THE CASE OF A LIPSCHITZ DEFORMATION
- Stokes’ System in a Domain with Oscillating Boundary: Homogenization and Error Analysis of an Interior Optimal Control Problem
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