Integral Conditions for Convergence of Solutions of Non-Linear Robin's Problem in Strongly Perforated Domain

dc.contributor.author	Khruslov, E.Ya.
dc.contributor.author	Khilkova, L.O.
dc.contributor.author	Goncharenko, M.V.
dc.date.accessioned	2018-07-10T19:28:26Z
dc.date.available	2018-07-10T19:28:26Z
dc.date.issued	2017
dc.identifier.citation	Integral Conditions for Convergence of Solutions of Non-Linear Robin's Problem in Strongly Perforated Domain / E.Ya. Khruslov, L.O. Khilkova, M.V. Goncharenko // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 3. — С. 283-313. — Бібліогр.: 17 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.other	Mathematics Subject Classification 2000: 35Q70
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/140576
dc.description.abstract	We consider a boundary-value problem for the Poisson equation in a strongly perforated domain Ωε = Ω\Fε ⊂ Rⁿ (n ≥ 2) with non-linear Robin's condition on the boundary of the perforating set Fε. The domain Ωε depends on the small parameter ε > 0 such that the set Fε becomes more and more loosened and distributes more densely in the domain Ω as ε→0. We study the asymptotic behavior of the solution uε(x) of the problem as ε→0. A homogenized equation for the main term u(x) of the asymptotics of uε(x) is constructed and the integral conditions for the convergence of uε(x) to u(x) are formulated.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	Integral Conditions for Convergence of Solutions of Non-Linear Robin's Problem in Strongly Perforated Domain	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA