Fast fusion in a two-dimensional coagulation model
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929268913602560 |
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| author | Cristian, Iulia Velázquez, Juan J. L. |
| author_facet | Cristian, Iulia Velázquez, Juan J. L. |
| contents | In this work, we study a particular system of coagulation equations characterized by two values, namely volume $v$ and surface area $a$. Compared to the standard one-dimensional models, this model incorporates additional information about the geometry of the particles. We describe the coagulation process as a combination between collision and fusion of particles. We prove that we are able to recover the standard one-dimensional coagulation model when fusion happens quickly and that we are able to recover an equation in which particles interact and form a ramified-like system in time when fusion happens slowly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_09475 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fast fusion in a two-dimensional coagulation model Cristian, Iulia Velázquez, Juan J. L. Analysis of PDEs In this work, we study a particular system of coagulation equations characterized by two values, namely volume $v$ and surface area $a$. Compared to the standard one-dimensional models, this model incorporates additional information about the geometry of the particles. We describe the coagulation process as a combination between collision and fusion of particles. We prove that we are able to recover the standard one-dimensional coagulation model when fusion happens quickly and that we are able to recover an equation in which particles interact and form a ramified-like system in time when fusion happens slowly. |
| title | Fast fusion in a two-dimensional coagulation model |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2303.09475 |