Notes on Optimal Flux Fields
Analysis of PDEs
2024-09-06 v1 Mathematical Physics
math.MP
Abstract
For a given region, and specified boundary flux and density rate of an extensive property, the optimal flux field that satisfies the balance conditions is considered. The optimization criteria are the -norm and a Sobolev-like norm of the flux field. Finally, the capacity of the region to accommodate various boundary fluxes and density rates is defined and analyzed.
Cite
@article{arxiv.2409.03426,
title = {Notes on Optimal Flux Fields},
author = {Vladimir Gol'dshtein and Reuven Segev},
journal= {arXiv preprint arXiv:2409.03426},
year = {2024}
}