Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918303934447616 |
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| author | Maso, Gianni Dal Donati, Davide |
| author_facet | Maso, Gianni Dal Donati, Davide |
| contents | The results on $Γ$-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the $Γ$-limit, which is then used to study deterministic and stochastic homogenisation problems for this type of functionals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07820 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms Maso, Gianni Dal Donati, Davide Analysis of PDEs 49J45 (Primary), 49Q20, 60G60, 74Q05, 74S60 (Secondary) The results on $Γ$-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the $Γ$-limit, which is then used to study deterministic and stochastic homogenisation problems for this type of functionals. |
| title | Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms |
| topic | Analysis of PDEs 49J45 (Primary), 49Q20, 60G60, 74Q05, 74S60 (Secondary) |
| url | https://arxiv.org/abs/2409.07820 |