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arXiv · 2409.03426

Notes on Optimal Flux Fields

Vladimir Gol'dshtein·Reuven Segev
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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 $L^{p}$-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.

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Vladimir Gol'dshtein, Reuven Segev. 2024-09-05. Notes on Optimal Flux Fields. https://arxiv.org/abs/2409.03426

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