G-convergence of Friedrichs systems revisited
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913591688429568 |
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| author | Burazin, K. Erceg, M. Waurick, M. |
| author_facet | Burazin, K. Erceg, M. Waurick, M. |
| contents | We revisit homogenisation theory for Friedrichs systems. In particular, we show that $G$-compactness can be obtained under severely weaker assumptions than in the original work of Burazin and Vrdoljak (2014). In this way we extend the applicability of $G$-compactness results for Friedrichs systems to equations that yield memory effects in the homogenised limit and detour any usage of compactness techniques previously employed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01552 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | G-convergence of Friedrichs systems revisited Burazin, K. Erceg, M. Waurick, M. Analysis of PDEs Mathematical Physics Functional Analysis 35B27, 35F45, 35M32, 47F05 We revisit homogenisation theory for Friedrichs systems. In particular, we show that $G$-compactness can be obtained under severely weaker assumptions than in the original work of Burazin and Vrdoljak (2014). In this way we extend the applicability of $G$-compactness results for Friedrichs systems to equations that yield memory effects in the homogenised limit and detour any usage of compactness techniques previously employed. |
| title | G-convergence of Friedrichs systems revisited |
| topic | Analysis of PDEs Mathematical Physics Functional Analysis 35B27, 35F45, 35M32, 47F05 |
| url | https://arxiv.org/abs/2307.01552 |