Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

Request Permissions   Purchase Content 
 

 

A random particle blob method for the Keller-Segel equation and convergence analysis


Authors: Jian-Guo Liu and Rong Yang
Journal: Math. Comp. 86 (2017), 725-745
MSC (2010): Primary 60H10, 65M75; Secondary 35Q92, 35K55
DOI: https://doi.org/10.1090/mcom/3118
Published electronically: May 17, 2016
MathSciNet review: 3584546
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2010): 60H10, 65M75, 35Q92, 35K55

Retrieve articles in all journals with MSC (2010): 60H10, 65M75, 35Q92, 35K55


Additional Information

Jian-Guo Liu
Affiliation: Departments of Physics and Mathematics, Duke University, Durham, North Carolina 27708
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
Email: ysihan2010@163.com

DOI: https://doi.org/10.1090/mcom/3118
Keywords: Interacting Brownian particle system, Newtonian aggregation, propagation of chaos, mean-field nonlinear stochastic differential equation, chemotaxis, Dobrushin's type stability in Wasserstein distance.
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.
Article copyright: © Copyright 2016 American Mathematical Society