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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.16486 |
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| _version_ | 1866909963277828096 |
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| author | Giga, Yoshikazu Łasica, Michał Rybka, Piotr |
| author_facet | Giga, Yoshikazu Łasica, Michał Rybka, Piotr |
| contents | We consider the question of convergence of a sequence of gradient flows defined on different Hilbert spaces. In order to give meaning to this idea, we introduce a notion of connecting operators. This permits us to generalize the concept of Mosco convergence of functionals to our present setting, and state a desired convergence result for gradient flows, which we then prove. We present a variety of examples, including thin domains, dynamic boundary conditions, and discrete-to-continuum limits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16486 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications Giga, Yoshikazu Łasica, Michał Rybka, Piotr Analysis of PDEs Primary: 35K20, Secondary: 35B25, 49J45 We consider the question of convergence of a sequence of gradient flows defined on different Hilbert spaces. In order to give meaning to this idea, we introduce a notion of connecting operators. This permits us to generalize the concept of Mosco convergence of functionals to our present setting, and state a desired convergence result for gradient flows, which we then prove. We present a variety of examples, including thin domains, dynamic boundary conditions, and discrete-to-continuum limits. |
| title | Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications |
| topic | Analysis of PDEs Primary: 35K20, Secondary: 35B25, 49J45 |
| url | https://arxiv.org/abs/2511.16486 |