On the smoothness of a solution of nonlinear filtration problem in the presence of a point source

dc.contributor.author	Zadvornov O.
dc.contributor.author	Zadvornova G.
dc.date.accessioned	2018-09-18T20:34:37Z
dc.date.available	2018-09-18T20:34:37Z
dc.date.issued	2013
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/141313
dc.description.abstract	Properties of a solution of a nonlinear filtration problem in a heterogeneous porous medium in the presence of a point source for a fluid obeying a linear growth law at infinity are studied. In the generalized setting of the problem, a singularity related to the singularity of the right-hand side is determined as an additive term. The pressure field is represented as the sum of a known solution of a certain linear problem (associated with the initial one) with a point source on the right-hand side and an unknown "addition." The Hölder continuity of the latter term is proved. © 2013 Pleiades Publishing, Ltd.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	heterogeneous medium
dc.subject	Hölder continuity
dc.subject	nonlinear filtering
dc.subject	point source
dc.title	On the smoothness of a solution of nonlinear filtration problem in the presence of a point source
dc.type	Article
dc.relation.ispartofseries-issue	4
dc.relation.ispartofseries-volume	34
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	412
dc.source.id	SCOPUS19950802-2013-34-4-SID84891339368

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.