Oscillating PDE in a rough domain with a curved interface: Homogenization of an Optimal Control Problem
From MaRDI portal
Publication:4999581
DOI10.1051/cocv/2020045zbMath1467.49004OpenAlexW3044696863MaRDI QIDQ4999581
Abu Sufian, A. K. Nandakumaran
Publication date: 7 July 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2020045
Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35)
Related Items (7)
Exact internal controllability for a problem with imperfect interface ⋮ Homogenization of the heat equation in a noncylindrical domain with randomly oscillating boundary ⋮ 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 ⋮ Optimal control problem governed by wave equation in an oscillating domain and homogenization ⋮ Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain ⋮ High Contrasting Diffusion in Heisenberg Group: Homogenization of Optimal Control via Unfolding
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness
- Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure
- The Neumann problem in thin domains with very highly oscillatory boundaries
- Homogenization of the brush problem with a source term in \(L^{1}\)
- Homogenization in a thin domain with an oscillatory boundary
- On the limit matrix obtained in the homogenization of an optimal control problem
- Homogenization of an elliptic equation in a domain with oscillating boundary with non-homogeneous non-linear boundary conditions
- On the spectrum of the Dirichlet Laplacian in a narrow strip
- Homogenization of oscillating boundaries
- Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in \(\mathbb R^d\)
- Non-homogeneous media and vibration theory
- Optimal control on perforated domains
- The boundary-value problem in domains with very rapidly oscillating boundary
- Homogenization of periodic optimal control problems via multi-scale convergence
- Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization
- Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary
- Why viscous fluids adhere to rugose walls: A mathematical explanation.
- Boundary homogenization and Neumann boundary value problem
- Locally periodic unfolding operator for highly oscillating rough domains
- Junction of a periodic family of elastic rods with a 3d plate. I.
- Locally periodic thin domains with varying period
- Limit behavior of thin heterogeneous domain with rapidly oscillating boundary
- Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary
- Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization
- Homogenization of an Optimal Control Problem
- Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem
- The Periodic Unfolding Method
- Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir–capillaries interface
- Getting Acquainted with Homogenization and Multiscale
- Semi-linear optimal control problem on a smooth oscillating domain
- The Periodic Unfolding Method in Homogenization
This page was built for publication: Oscillating PDE in a rough domain with a curved interface: Homogenization of an Optimal Control Problem