Variational convergences under moving anisotropies
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912307439730688 |
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| author | Maione, Alberto Paronetto, Fabio Verzellesi, Simone |
| author_facet | Maione, Alberto Paronetto, Fabio Verzellesi, Simone |
| contents | We study the asymptotic behaviour of sequences of integral functionals depending on moving anisotropies. We introduce and describe the relevant functional setting, establishing uniform Meyers-Serrin type approximations, Poincaré inequalities and compactness properties. We prove several $Γ$-convergence results, and apply the latter to the study of $H$-convergence of anisotropic linear differential operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02552 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variational convergences under moving anisotropies Maione, Alberto Paronetto, Fabio Verzellesi, Simone Analysis of PDEs 49J45, 49Q20, 53C17 We study the asymptotic behaviour of sequences of integral functionals depending on moving anisotropies. We introduce and describe the relevant functional setting, establishing uniform Meyers-Serrin type approximations, Poincaré inequalities and compactness properties. We prove several $Γ$-convergence results, and apply the latter to the study of $H$-convergence of anisotropic linear differential operators. |
| title | Variational convergences under moving anisotropies |
| topic | Analysis of PDEs 49J45, 49Q20, 53C17 |
| url | https://arxiv.org/abs/2504.02552 |