arXiv:1802.09668 Abstract | arXiv Analytics

arXiv:1802.09668 [math.AP]Abstract References Reviews Resources

Propagation of chaos for the Keller-Segel equation over bounded domains

Razvan C. Fetecau, Hui Huang, Weiran Sun

Published 2018-02-27Version 1

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.

Categories: math.AP, math.DS, math.PR

Keywords: bounded domains, propagation, parabolic-elliptic keller-segel equation, bounded weak solutions, bounded convex domains

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