KFU. Card publication. An R-linear conjugation problem for a plane two-component heterogeneous structure with an array of periodically distributed sinks/sources

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AN R-LINEAR CONJUGATION PROBLEM FOR A PLANE TWO-COMPONENT HETEROGENEOUS STRUCTURE WITH AN ARRAY OF PERIODICALLY DISTRIBUTED SINKS/SOURCES

Form of presentation

Articles in international journals and collections

Year of publication

2013

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Obnosov Yu.V. An R-linear conjugation problem for a plane two-component heterogeneous structure with an array of periodically distributed sinks/sources. Applied Mathematical Modelling.2013, 37(5), 2830-2837,DOI: 10.1016/j.apm.2012.06.028

Annotation

An ${\mathbb R}$-linear conjugation problem for a planar structure consisting of an isotropic strip and adjacent half-plane with contrasting permeabilities is solved. The whole structure is bounded from above by an equipotential line. An exact analytical solution is derived in terms of complex velocity in the class of one-periodical piece-wise meromorphic functions. Their principal part is the sum of periodically distributed simple poles, fixed in advance. Cases with singularities internal to the strip and subjacent half-plane are distinguished from a special case of poles positioned along the interface.

Keywords

heterogeneous media, Laplace's equation, analytical solution

The name of the journal

APPL MATH MODEL

URL

http://www.journals.elsevier.com/applied-mathematical-modelling/

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=35859&p_lang=2

Resource files

File name	Size (MB)	Format
AMM_2012_Obn_.pdf	0,27	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2013-01-01T00:00:00Z	ru_RU
dc.date.available	2013-01-01T00:00:00Z	ru_RU
dc.date.issued	2013	ru_RU
dc.identifier.citation	Obnosov Yu.V. An R-linear conjugation problem for a plane two-component heterogeneous structure with an array of periodically distributed sinks/sources. Applied Mathematical Modelling.2013, 37(5), 2830-2837,DOI: 10.1016/j.apm.2012.06.028	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=35859&p_lang=2	ru_RU
dc.description.abstract	APPL MATH MODEL	ru_RU
dc.description.abstract	An ${\mathbb R}$-linear conjugation problem for a planar structure consisting of an isotropic strip and adjacent half-plane with contrasting permeabilities is solved. The whole structure is bounded from above by an equipotential line. An exact analytical solution is derived in terms of complex velocity in the class of one-periodical piece-wise meromorphic functions. Their principal part is the sum of periodically distributed simple poles, fixed in advance. Cases with singularities internal to the strip and subjacent half-plane are distinguished from a special case of poles positioned along the interface.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	heterogeneous media	ru_RU
dc.subject	Laplace's equation	ru_RU
dc.subject	analytical solution	ru_RU
dc.title	An R-linear conjugation problem for a plane two-component heterogeneous structure with an array of periodically distributed sinks/sources	ru_RU
dc.type	Articles in international journals and collections	ru_RU