Zobrazeno 1 - 10
of 16
pro vyhledávání: '"G. A. Chechkin"'
Publikováno v:
International Journal of Differential Equations, Vol 2011 (2011)
In this paper, we construct and verify the asymptotic expansion for the spectrum of a boundary-value problem in a unit circle periodically perforated along the boundary. It is assumed that the size of perforation and the distance to the boundary of t
Externí odkaz:
https://doaj.org/article/5628f1728c6447f7a67061ec26b5adac
Publikováno v:
Journal of Inequalities and Applications, Vol 2007 (2008)
We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary Γ1ɛ. It is assumed that Γ1ɛ consists of (1/δ)n−1 pi
Externí odkaz:
https://doaj.org/article/9df3cdfc7b52437b955b6a18aeafebe1
Autor:
G. A. Chechkin, T. P. Chechkina
Publikováno v:
Journal of Mathematical Sciences. 268:523-534
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21fb514c531fc0751ef1b1e2662e8f85
https://doi.org/10.1007/s10958-022-06210-2
https://doi.org/10.1007/s10958-022-06210-2
Publikováno v:
Journal of Mathematical Sciences. 262:246-261
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5f7d18c04c18cd45ef214385a1531ae
https://doi.org/10.1007/s10958-022-05814-y
https://doi.org/10.1007/s10958-022-05814-y
Publikováno v:
Journal of Mathematical Sciences. 260:774-797
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4035651073ffb821ef766acc8cc87338
https://doi.org/10.1007/s10958-022-05727-w
https://doi.org/10.1007/s10958-022-05727-w
Publikováno v:
Doklady Mathematics. 105:23-27
Abstract An existence and uniqueness theorem for a classical solution to the system of equations describing thermal boundary layers in viscous media with the Ladyzhenskaya rheological law is generalized.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff321c92c968ae1455fbec0fd52c2d8a
https://doi.org/10.1134/s1064562422010070
https://doi.org/10.1134/s1064562422010070
We consider a boundary value problem for a homogeneous elliptic equation with an inhomogeneous Steklov boundary condition. The problem involves a singular perturbation, which is the Dirichlet condition imposed on a small piece of the boundary. We rew
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84d13285f0da71bd487cf1bdbc5fc144
http://hdl.handle.net/11588/867690
http://hdl.handle.net/11588/867690
Homogenization is a collection of powerful techniques in partial differential equations that are used to study differential operators with rapidly oscillating coefficients, boundary value problems with rapidly varying boundary conditions, equations i
Publikováno v:
Journal of Mathematical Sciences. 196:276-292
We consider the boundary value problem for the Laplace operator in a two-dimensional domain which is partially perforated along the boundary. The homogeneous Neumann condition is imposed on the outer boundary, whereas the homogeneous Dirichlet condit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1568e062d67227f0cd112b0ba8b22ed2
https://doi.org/10.1007/s10958-014-1658-9
https://doi.org/10.1007/s10958-014-1658-9
Autor:
G. A. Chechkin
Publikováno v:
Transactions of the Moscow Mathematical Society. 70:71-134
This paper looks at eigenoscillations of a membrane containing a large number of concentrated masses on the boundary. The asymptotic behaviour of the frequencies of eigenoscillations is studied when a small parameter characterizing the diameter and d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d964b3e1262a3d2f46c5999bdff1f75
https://doi.org/10.1090/s0077-1554-09-00177-0
https://doi.org/10.1090/s0077-1554-09-00177-0