The small mass limit for a McKean-Vlasov equation with state-dependent friction
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911790802141184 |
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| author | Shi, Chungang Wang, Mengmeng Lv, Yan Wang, Wei |
| author_facet | Shi, Chungang Wang, Mengmeng Lv, Yan Wang, Wei |
| contents | The small mass limit is derived for a McKean-Vlasov equation with state-dependent friction in $d$-dimensional space. By applying the averaging approach to a non-autonomous slow-fast system with the microscopic and macroscopic scales, the convergence in distribution is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04275 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The small mass limit for a McKean-Vlasov equation with state-dependent friction Shi, Chungang Wang, Mengmeng Lv, Yan Wang, Wei Analysis of PDEs Probability The small mass limit is derived for a McKean-Vlasov equation with state-dependent friction in $d$-dimensional space. By applying the averaging approach to a non-autonomous slow-fast system with the microscopic and macroscopic scales, the convergence in distribution is obtained. |
| title | The small mass limit for a McKean-Vlasov equation with state-dependent friction |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2403.04275 |