Strong contrasting diffusivity in general oscillating domains: homogenization of optimal control problems
From MaRDI portal
Publication:2034015
DOI10.1016/j.jde.2021.04.031zbMath1468.35014OpenAlexW3162270249MaRDI QIDQ2034015
A. K. Nandakumaran, Abu Sufian
Publication date: 18 June 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.04.031
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) Homogenization for problems in thermodynamics and heat transfer (80M40) PDEs in connection with control and optimization (35Q93)
Related Items
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, Homogenization with strong contrasting diffusivity in a circular oscillating domain with \(L^1\) source term
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogenization of a hyperbolic equation with highly contrasting diffusivity coefficients.
- The effective conductivity equation for a highly heterogeneous periodic medium
- Asymptotic analysis and error estimates for an optimal control problem with oscillating boundaries
- Homogenization of an elliptic equation in a domain with oscillating boundary with non-homogeneous non-linear boundary conditions
- Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers
- Homogenization of oscillating boundaries
- The general theory of homogenization. A personalized introduction
- Non-homogeneous media and vibration theory
- 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
- Locally periodic unfolding operator for highly oscillating rough domains
- Asymptotic analysis of Neumann periodic optimal boundary control problem
- Diffusion through a composite structure with a high contrasting diffusivity
- Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization
- Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
- Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1
- Boundary Homogenization and Reduction of Dimension in a Kirchhoff–Love Plate
- Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem
- Getting Acquainted with Homogenization and Multiscale
- Semi-linear optimal control problem on a smooth oscillating domain
- Asymptotic analysis of a boundary optimal control problem on a general branched structure
- A Two-Dimensional Electrostatic Model of Interdigitated Comb Drive in Longitudinal Mode
- Homogenization of a nonlinear monotone problem with a big nonlinear Signorini boundary interaction in a domain with highly rough boundary
- Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity
- Stokes’ System in a Domain with Oscillating Boundary: Homogenization and Error Analysis of an Interior Optimal Control Problem