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)

115 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

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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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abstract = "Asymptotic analysis of the Hele-Shaw flow with a small movingobstacle is performed. The method of solution utilizes the uniform asymptoticformulas for Green{\textquoteright}s and Neumann functions recently obtained by V. Maz{\textquoteright}yaand A. Movchan. The theoretical results of the paper are illustrated by numericalsimulations.",

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

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AU - Mishuris, Gennady

AU - Rogosin, Sergei

AU - Wrobel, Michal

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AB - Asymptotic analysis of the Hele-Shaw flow with a small movingobstacle is performed. The method of solution utilizes the uniform asymptoticformulas for Green’s and Neumann functions recently obtained by V. Maz’yaand A. Movchan. The theoretical results of the paper are illustrated by numericalsimulations.

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Moving stone in the hele-shaw flow

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