Hele-Shaw flow with a small obstacle

Gennady Mishuris; Sergei Rogosin; Michal Wrobel

doi:10.1007/s11012-014-9919-8

Hele-Shaw flow with a small obstacle

Gennady Mishuris, Sergei Rogosin^*, Michal Wrobel

^*Awdur cyfatebol y gwaith hwn

Mathemateg

Belarusian State University

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

8 Dyfyniadau (Scopus)

226 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green's and Neumann functions recently obtained by Maz'ya and Movchan. Theoretical results are illustrated by the numerical simulations.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	2037-2047
Nifer y tudalennau	11
Cyfnodolyn	Meccanica
Cyfrol	49
Rhif cyhoeddi	9
Dyddiad ar-lein cynnar	15 Mai 2014
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s11012-014-9919-8
Statws	Cyhoeddwyd - 01 Medi 2014

Mynediad at Ddogfen

10.1007/s11012-014-9919-8

Hele-Shaw flow with a small obstacleLlawysgrif awdur wedi’i dderbyn, 186 KB

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http://hdl.handle.net/2160/30080

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title = "Hele-Shaw flow with a small obstacle",

abstract = "Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green's and Neumann functions recently obtained by Maz'ya and Movchan. Theoretical results are illustrated by the numerical simulations.",

keywords = "Hele-Shaw flow, Obstacle, Green's function, Neumann function, Asymptotic analysis, MOVING BOUNDARY-PROBLEM, UNIFORM ASYMPTOTICS, NUMERICAL TREATMENT, PERFORATED DOMAINS, GREENS KERNELS, REGULARIZATION, TOOLBOX, MODELS, MATLAB, PLANE",

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

year = "2014",

month = sep,

day = "1",

doi = "10.1007/s11012-014-9919-8",

language = "English",

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journal = "Meccanica",

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TY - JOUR

T1 - Hele-Shaw flow with a small obstacle

AU - Mishuris, Gennady

AU - Rogosin, Sergei

AU - Wrobel, Michal

PY - 2014/9/1

Y1 - 2014/9/1

N2 - Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green's and Neumann functions recently obtained by Maz'ya and Movchan. Theoretical results are illustrated by the numerical simulations.

AB - Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green's and Neumann functions recently obtained by Maz'ya and Movchan. Theoretical results are illustrated by the numerical simulations.

KW - Hele-Shaw flow

KW - Obstacle

KW - Green's function

KW - Neumann function

KW - Asymptotic analysis

KW - MOVING BOUNDARY-PROBLEM

KW - UNIFORM ASYMPTOTICS

KW - NUMERICAL TREATMENT

KW - PERFORATED DOMAINS

KW - GREENS KERNELS

KW - REGULARIZATION

KW - TOOLBOX

KW - MODELS

KW - MATLAB

KW - PLANE

UR - http://hdl.handle.net/2160/30080

U2 - 10.1007/s11012-014-9919-8

DO - 10.1007/s11012-014-9919-8

M3 - Article

SN - 0025-6455

VL - 49

SP - 2037

EP - 2047

JO - Meccanica

JF - Meccanica

IS - 9

ER -

Hele-Shaw flow with a small obstacle

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Mynediad at Ddogfen

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Ffeiliau eraill a chysylltiadau

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