Notes on Optimal Flux Fields
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917769504620544 |
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| author | Gol'dshtein, Vladimir Segev, Reuven |
| author_facet | Gol'dshtein, Vladimir Segev, Reuven |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03426 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Notes on Optimal Flux Fields Gol'dshtein, Vladimir Segev, Reuven Analysis of PDEs Mathematical Physics 70A05, 74A05 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. |
| title | Notes on Optimal Flux Fields |
| topic | Analysis of PDEs Mathematical Physics 70A05, 74A05 |
| url | https://arxiv.org/abs/2409.03426 |