Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis


Journal Article

© 2017 International Press. We establish an error estimate of a discrete-in-time random particle blob method for the Keller{Segel (KS) equation in ℝd (d≥2). With a blob size ε=N-1/d(d+1) log(N), we prove the convergence rate between the solution to the KS equation and the empirical measure of the random particle method under L2 norm in probability, where N is the number of the particles.

Full Text

Duke Authors

Cited Authors

  • Huang, H; Liu, JG

Published Date

  • January 1, 2017

Published In

Volume / Issue

  • 15 / 7

Start / End Page

  • 1821 - 1842

Electronic International Standard Serial Number (EISSN)

  • 1945-0796

International Standard Serial Number (ISSN)

  • 1539-6746

Digital Object Identifier (DOI)

  • 10.4310/CMS.2017.v15.n7.a2

Citation Source

  • Scopus