Homogenization of some periodic Hamilton-Jacobi equations with defects
From MaRDI portal
Publication:6081659
DOI10.1080/03605302.2023.2238953arXiv2211.16157MaRDI QIDQ6081659
Publication date: 26 October 2023
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.16157
Effective constitutive equations in solid mechanics (74Q15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)
Cites Work
- Viscosity solutions for junctions: well posedness and stability
- Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface
- A junction condition by specified homogenization and application to traffic lights
- Viscosity solutions of Hamilton-Jacobi equations
- Specified homogenization of a discrete traffic model leading to an effective junction condition
- Perturbation problems in homogenization of Hamilton-Jacobi equations
- Homogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditions
- A possible homogenization approach for the numerical simulation of periodic microstructures with defects
- Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case
- Optimal control problems on stratified domains
- Homogenization of the \(p\)-Laplace equation in a periodic setting with a local defect
- An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton–Jacobi Equations and Applications
- A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations
- Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks
- A Numerical Approach Related to Defect-Type Theories for Some Weakly Random Problems in Homogenization
- A Bellman Approach for Regional Optimal Control Problems in $\mathbb{R}^N$
- Local Profiles for Elliptic Problems at Different Scales: Defects in, and Interfaces between Periodic Structures
- Hamilton-Jacobi Equations with State Constraints
- Optimal Control with State-Space Constraint I
- On correctors for linear elliptic homogenization in the presence of local defects
- The perturbed test function method for viscosity solutions of nonlinear PDE
- Mathematics for the Modeling of Defects in Materials
- Hamilton-Jacobi Equations on Networks as Limits of Singularly Perturbed Problems in Optimal Control: Dimension Reduction
- Hamilton–Jacobi equations for optimal control on junctions and networks
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Homogenization of a microscopic pedestrians model on a convergent junction
This page was built for publication: Homogenization of some periodic Hamilton-Jacobi equations with defects
