An ℝ-linear conjugation problem for two concentric annuli

dc.contributor.author	Kazarin A.
dc.contributor.author	Obnosov Y.
dc.date.accessioned	2018-09-18T20:34:48Z
dc.date.available	2018-09-18T20:34:48Z
dc.date.issued	2015
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/141343
dc.description.abstract	© 2015, Pleiades Publishing, Ltd. 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 ℝ-linear conjugation boundary value problem is derived for both cases. Examples of flow nets (isobars and streamlines) are presented.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	analytic functions
dc.subject	heterogeneous media
dc.subject	refraction
dc.subject	ℝ-linear conjugation problem
dc.title	An ℝ-linear conjugation problem for two concentric annuli
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	36
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	215
dc.source.id	SCOPUS19950802-2015-36-2-SID84934937793

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