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Propagation of chaos for the Keller–Segel equation over bounded domains.
- Source :
-
Journal of Differential Equations . Feb2019, Vol. 266 Issue 4, p2142-2174. 33p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper we rigorously justify the propagation of chaos for the parabolic–elliptic Keller–Segel equation over bounded convex domains. The boundary condition under consideration is the no-flux condition. As intermediate steps, we establish the well-posedness of the associated stochastic equation as well as the well-posedness of the Keller–Segel equation for bounded weak solutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 266
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 133684126
- Full Text :
- https://doi.org/10.1016/j.jde.2018.08.024