Error estimate of a random particle blob method for the Keller-Segel equation

Hui Huang Tsinghua Universit Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03012

MATHEMATICS OF COMPUTATION, 2017.1
We establish an optimal error estimate for a random particle blob method for the Keller-Segel equation in Rd (d  2). With a blob size " = h
. Concentration inequality, Bennett's inequality, Newtonian aggregation, sampling estimate, chemotaxis, Brownian motion, propagation of chaos
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@inproceedings{hui2017error,
  title={Error estimate of a random particle blob method for the Keller-Segel equation},
  author={Hui Huang, and Jian-Guo Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170206160658158533198},
  booktitle={MATHEMATICS OF COMPUTATION},
  year={2017},
}
Hui Huang, and Jian-Guo Liu. Error estimate of a random particle blob method for the Keller-Segel equation. 2017. In MATHEMATICS OF COMPUTATION. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170206160658158533198.
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