The kinetic limit of a system of coagulating planar Brownian particles
We study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order $\epsilon$. We assume that the initial number of particles is of the order of $| \log \epsilon |. Under suitable assumptions on the initial distr...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2005
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| _version_ | 1797055430065651712 |
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| author | Hammond, A Rezakhanlou, F |
| author_facet | Hammond, A Rezakhanlou, F |
| author_sort | Hammond, A |
| collection | OXFORD |
| description | We study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order $\epsilon$. We assume that the initial number of particles is of the order of $| \log \epsilon |. Under suitable assumptions on the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation. |
| first_indexed | 2024-03-06T19:10:36Z |
| format | Journal article |
| id | oxford-uuid:16a587c1-d285-41b9-bbb7-519e51001883 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:10:36Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:16a587c1-d285-41b9-bbb7-519e510018832022-03-26T10:32:29ZThe kinetic limit of a system of coagulating planar Brownian particlesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:16a587c1-d285-41b9-bbb7-519e51001883EnglishSymplectic Elements at Oxford2005Hammond, ARezakhanlou, FWe study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order $\epsilon$. We assume that the initial number of particles is of the order of $| \log \epsilon |. Under suitable assumptions on the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation. |
| spellingShingle | Hammond, A Rezakhanlou, F The kinetic limit of a system of coagulating planar Brownian particles |
| title | The kinetic limit of a system of coagulating planar Brownian particles |
| title_full | The kinetic limit of a system of coagulating planar Brownian particles |
| title_fullStr | The kinetic limit of a system of coagulating planar Brownian particles |
| title_full_unstemmed | The kinetic limit of a system of coagulating planar Brownian particles |
| title_short | The kinetic limit of a system of coagulating planar Brownian particles |
| title_sort | kinetic limit of a system of coagulating planar brownian particles |
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