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Propagation of chaos for the Keller–Segel equation over bounded domains.

Authors :
Fetecau, Razvan C.
Huang, Hui
Sun, Weiran
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