Notes on optimal flux fields

Vladimir Gol’dshtein; Reuven Segev

doi:10.1177/10812865241307314

Notes on optimal flux fields

Research output: Contribution to journal › Article › peer-review

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 (Formula presented) -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.

Original language	English
Pages (from-to)	1952-1969
Number of pages	18
Journal	Mathematics and Mechanics of Solids
Volume	30
Issue number	9 Special Issue: Prof. Marcelo Epstein’s 80th Birthday
DOIs	https://doi.org/10.1177/10812865241307314
State	Published - 1 Sep 2025

Keywords

Continuum kinematics
capacity of regions
flux fields
optimization

ASJC Scopus subject areas

General Mathematics
General Materials Science
Mechanics of Materials

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10.1177/10812865241307314

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KW - capacity of regions

KW - flux fields

KW - optimization

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Notes on optimal flux fields

Abstract

Keywords

ASJC Scopus subject areas

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