Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles

Gennady Mishuris*, Sergei Rogosin, Michal Wrobel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (SciVal)
110 Downloads (Pure)

Abstract

Asymptotic analysis of the Hele-Shaw flow with a small moving obstacle is performed. The method of solution utilizes the uniform asymptotic formulas for Green's and Neumann functions recently obtained by V. Maz'ya and A. Movchan. The theoretical results of the paper are illustrated by numerical simulations.

Original languageEnglish
Pages (from-to)457-474
Number of pages18
JournalMathematika
Volume61
Issue number2
DOIs
Publication statusPublished - May 2015

Keywords

  • UNIFORM ASYMPTOTICS
  • BOUNDARY-PROBLEM
  • GREENS KERNELS
  • TOOLBOX
  • DOMAINS
  • MATLAB

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