Moving stone in the hele-shaw flow

Gennady Mishuris, Sergei Rogosin, Michal Wrobel

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
115 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
Early online date08 Apr 2015
DOIs
Publication statusPublished - 09 May 2015

Keywords

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

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