A random particle blob method for the Keller-Segel equation and convergence analysis
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- by Jian-Guo Liu and Rong Yang PDF
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Abstract:
In this paper, we introduce a random particle blob method for the Keller-Segel equation (with dimension $d\geq 2$) and establish a rigorous convergence analysis.References
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Additional Information
- Jian-Guo Liu
- Affiliation: Departments of Physics and Mathematics, Duke University, Durham, North Carolina 27708
- MR Author ID: 233036
- ORCID: 0000-0002-9911-4045
- Email: jliu@phy.duke.edu
- Rong Yang
- Affiliation: College of Applied Sciences, Beijing University of Technology, Ping Le Yuan 100, Chaoyang District, Beijing, 100124, People’s Republic of China
- MR Author ID: 1060676
- Email: ysihan2010@163.com
- Received by editor(s): August 4, 2014
- Received by editor(s) in revised form: March 20, 2015, and September 17, 2015
- Published electronically: May 17, 2016
- Additional Notes: The first author was supported in part by KI-Net NSF RNMS Grant #1107291.
- © Copyright 2016 American Mathematical Society
- Journal: Math. Comp. 86 (2017), 725-745
- MSC (2010): Primary 60H10, 65M75; Secondary 35Q92, 35K55
- DOI: https://doi.org/10.1090/mcom/3118
- MathSciNet review: 3584546