KFU. Card publication. An R-linear conjugation problem for two concentric annuli

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FEDERAL UNIVERSITY

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AN R-LINEAR CONJUGATION PROBLEM FOR TWO CONCENTRIC ANNULI

Form of presentation

Articles in Russian journals and collections

Year of publication

2015

Язык

английский

Authors, employees of KFU

Kazarin Anatoliy Yurevich, author

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Kazarin A.Yu., Obnosov Yu.V. An R-linear conjugation problem for two concentric annuli // Lobachevskii Journal of Mathematics. - 2015. - V.36 (2). P. 215-224. DOI: 10.1134/S1995080215020201

Annotation

We consider an infinite planar four-phase heterogeneous medium with three concentric circles as a boundary between isotropic medium's components of distinct resistivities/conductivities. It is supposed that the velocity field in this structure is generated by a finite set of arbitrary multipoles. We distinguish two cases when multipoles are inside of medium's components or at the interface. An exact analytical solution of the corresponding ${\mathbb R}$-linear conjugation boundary value problem is derived for both cases. Examples of flow nets (isobars and streamlines) are presented

Keywords

refraction, heterogeneous media, ${\mathbb R}$-linear conjugation problem, analytic functions

The name of the journal

Lobachevskii Journal of Mathematics

On-line resource for training course

URL

http://DOI: 10.1134/S1995080215020201

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

https://repository.kpfu.ru/eng/?p_id=109545&p_lang=2

Resource files

File name	Size (MB)	Format
LOJM215.pdf	1,04	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kazarin Anatoliy Yurevich	ru_RU
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Kazarin A.Yu., Obnosov Yu.V. An R-linear conjugation problem for two concentric annuli // Lobachevskii Journal of Mathematics. - 2015. - V.36 (2). P. 215-224. DOI: 10.1134/S1995080215020201	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=109545&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	We consider an infinite planar four-phase heterogeneous medium with three concentric circles as a boundary between isotropic medium's components of distinct resistivities/conductivities. It is supposed that the velocity field in this structure is generated by a finite set of arbitrary multipoles. We distinguish two cases when multipoles are inside of medium's components or at the interface. An exact analytical solution of the corresponding ${\mathbb R}$-linear conjugation boundary value problem is derived for both cases. Examples of flow nets (isobars and streamlines) are presented	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	refraction	ru_RU
dc.subject	heterogeneous media	ru_RU
dc.subject	${\mathbb R}$-linear conjugation problem	ru_RU
dc.subject	analytic functions	ru_RU
dc.title	An R-linear conjugation problem for two concentric annuli	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU