Coupled transport equations with freezing
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913381223497728 |
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| author | Burdzy, Krzysztof Sylvester, John |
| author_facet | Burdzy, Krzysztof Sylvester, John |
| contents | We study a system of two coupled transport equations with freezing. The solutions freeze in time when they are equal. We prove existence and uniqueness of continuous solutions if the initial conditions are continuous. We discuss several qualitative and quantitative properties of the solutions. The equations arise in a model for collisions of a large number of tightly spaced balls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02707 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coupled transport equations with freezing Burdzy, Krzysztof Sylvester, John Analysis of PDEs 35F50 We study a system of two coupled transport equations with freezing. The solutions freeze in time when they are equal. We prove existence and uniqueness of continuous solutions if the initial conditions are continuous. We discuss several qualitative and quantitative properties of the solutions. The equations arise in a model for collisions of a large number of tightly spaced balls. |
| title | Coupled transport equations with freezing |
| topic | Analysis of PDEs 35F50 |
| url | https://arxiv.org/abs/2406.02707 |