KFU. Card publication. A generalized Miln-Thomson theorem for the case of elliptical inclusion

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FEDERAL UNIVERSITY

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A GENERALIZED MILN-THOMSON THEOREM FOR THE CASE OF ELLIPTICAL INCLUSION

Form of presentation

Articles in international journals and collections

Year of publication

2012

Язык

английский

Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Obnosov Yu.V., Fadeev A.V. A generalized Miln-Thomson theorem for the case of elliptical inclusion. Euro Jnl of Applied Mathematics:23 (4) , pp. 469-484 Doi:10.1017/S0956792512000058

Annotation

An ${\mathbb R}$-linear conjugation problem modelling the process of power fields forming in a heterogeneous infinite planar structure with an elliptical inclusion is considered. Exact analytical solutions are derived in the class of piece-wise meromorphic functions with their principal parts fixed. Cases with internal singularities and with singularities of the given principal parts at the interface are investigated.

Keywords

heterogeneous medium, elliptic inclusion, R-linear conjugation problem, analytic functions

The name of the journal

EUR J APPL MATH

URL

http://Doi:10.1017/S0956792512000058

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

https://repository.kpfu.ru/eng/?p_id=33488&p_lang=2

Resource files

File name	Size (MB)	Format
EJAM,2012.pdf	0,18	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2012-01-01T00:00:00Z	ru_RU
dc.date.available	2012-01-01T00:00:00Z	ru_RU
dc.date.issued	2012	ru_RU
dc.identifier.citation	Obnosov Yu.V., Fadeev A.V. A generalized Miln-Thomson theorem for the case of elliptical inclusion. Euro Jnl of Applied Mathematics:23 (4) , pp. 469-484 Doi:10.1017/S0956792512000058	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=33488&p_lang=2	ru_RU
dc.description.abstract	EUR J APPL MATH	ru_RU
dc.description.abstract	An ${\mathbb R}$-linear conjugation problem modelling the process of power fields forming in a heterogeneous infinite planar structure with an elliptical inclusion is considered. Exact analytical solutions are derived in the class of piece-wise meromorphic functions with their principal parts fixed. Cases with internal singularities and with singularities of the given principal parts at the interface are investigated.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	heterogeneous medium	ru_RU
dc.subject	elliptic inclusion	ru_RU
dc.subject	R-linear conjugation problem	ru_RU
dc.subject	analytic functions	ru_RU
dc.title	A generalized Miln-Thomson theorem for the case of elliptical inclusion	ru_RU
dc.type	Articles in international journals and collections	ru_RU