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

Adran Mathemateg

Belarusian State University

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

4 Dyfyniadau (Scopus)

145 Wedi eu Llwytho i Lawr (Pure)

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	457-474
Nifer y tudalennau	18
Cyfnodolyn	Mathematika
Cyfrol	61
Rhif cyhoeddi	2
Dyddiad ar-lein cynnar	08 Ebr 2015
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1112/S0025579314000461
Statws	Cyhoeddwyd - 09 Mai 2015

Mynediad at Ddogfen

10.1112/S0025579314000461

Simulating the Hele-Shaw flow in the presence of various obstacles and moving particlesLlawysgrif awdur wedi’i dderbyn, 1.08 MB

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title = "Moving stone in the hele-shaw flow",

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{\textquoteright}s and Neumann functions recently obtained by V. Maz{\textquoteright}ya and A. Movchan. The theoretical results of the paper are illustrated by numerical simulations.",

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author = "Gennady Mishuris and Sergei Rogosin and Michal Wrobel",

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T1 - Moving stone in the hele-shaw flow

AU - Mishuris, Gennady

AU - Rogosin, Sergei

AU - Wrobel, Michal

PY - 2015/5/9

Y1 - 2015/5/9

N2 - 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.

AB - 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.

KW - UNIFORM ASYMPTOTICS

KW - BOUNDARY-PROBLEM

KW - GREENS KERNELS

KW - TOOLBOX

KW - DOMAINS

KW - MATLAB

UR - https://www.scopus.com/pages/publications/84928940977

U2 - 10.1112/S0025579314000461

DO - 10.1112/S0025579314000461

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JO - Mathematika

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Moving stone in the hele-shaw flow

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