Large systems of interacting particles and the porous medium equation
We study the empirical processes of systems of interacting particles, whose time evolution is given by coupled ordinary differential equations. In particular, as the population size tends to infinity, we derive different versions of the porous medium equation as limit dynamics.
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
30 June 2004
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| In: |
Journal of differential equations
Year: 1990, Volume: 88, Issue: 2, Pages: 294-346 |
| ISSN: | 1090-2732 |
| DOI: | 10.1016/0022-0396(90)90101-T |
| Online Access: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/0022-0396(90)90101-T Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/002203969090101T 
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| Author Notes: | Karl Oelschläger |
| Summary: | We study the empirical processes of systems of interacting particles, whose time evolution is given by coupled ordinary differential equations. In particular, as the population size tends to infinity, we derive different versions of the porous medium equation as limit dynamics. |
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| Item Description: | Available online 30 June 2004 Gesehen am 13.06.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1090-2732 |
| DOI: | 10.1016/0022-0396(90)90101-T |