Stochastic-Periodic Homogenization of a Class of Minimization Problems in Orlicz-Sobolev Spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866918161790533632 |
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| author | Joseph, Dongho Joel, Fotso Tachago Franck, Tchinda Takougoum |
| author_facet | Joseph, Dongho Joel, Fotso Tachago Franck, Tchinda Takougoum |
| contents | We develop the stochastic two-scale convergence method in the framework of Orlicz-Sobolev spaces, in order to deal with the homogenization of coupled stochastic-periodic problems in such spaces. One fundamental in this topic is the extension of compactness results for this method to the Orlicz setting. For the application, we show that the sequence of minimizers of a class of highly oscillatory minimizations problems involving integral functionals with convex and nonstandard growth integrands, converges to the minimizer of a homogenized problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10103 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stochastic-Periodic Homogenization of a Class of Minimization Problems in Orlicz-Sobolev Spaces Joseph, Dongho Joel, Fotso Tachago Franck, Tchinda Takougoum Analysis of PDEs Probability 35B27, 35B40, 49J55, 37A05, 46E30 We develop the stochastic two-scale convergence method in the framework of Orlicz-Sobolev spaces, in order to deal with the homogenization of coupled stochastic-periodic problems in such spaces. One fundamental in this topic is the extension of compactness results for this method to the Orlicz setting. For the application, we show that the sequence of minimizers of a class of highly oscillatory minimizations problems involving integral functionals with convex and nonstandard growth integrands, converges to the minimizer of a homogenized problem. |
| title | Stochastic-Periodic Homogenization of a Class of Minimization Problems in Orlicz-Sobolev Spaces |
| topic | Analysis of PDEs Probability 35B27, 35B40, 49J55, 37A05, 46E30 |
| url | https://arxiv.org/abs/2311.10103 |