Moving stone in the hele-shaw flow

Gennady Mishuris; Sergei Rogosin; Michal Wrobel

doi:10.1112/S0025579314000461

Moving stone in the hele-shaw flow

Gennady Mishuris, Sergei Rogosin, Michal Wrobel

Department of Mathematics

Belarusian State University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	457-474
Number of pages	18
Journal	Mathematika
Volume	61
Issue number	2
Early online date	08 Apr 2015
DOIs	https://doi.org/10.1112/S0025579314000461
Publication status	Published - 09 May 2015

Keywords

UNIFORM ASYMPTOTICS
BOUNDARY-PROBLEM
GREENS KERNELS
TOOLBOX
DOMAINS
MATLAB

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Simulating the Hele-Shaw flow in the presence of various obstacles and moving particlesAccepted author manuscript, 1.08 MB

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KW - DOMAINS

KW - MATLAB

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Moving stone in the hele-shaw flow

Abstract

Keywords

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