G
Gregory A. Chechkin
Researcher at Moscow State University
Publications - 133
Citations - 1396
Gregory A. Chechkin is an academic researcher from Moscow State University. The author has contributed to research in topics: Boundary value problem & Boundary (topology). The author has an hindex of 18, co-authored 121 publications receiving 1229 citations. Previous affiliations of Gregory A. Chechkin include Pedagogical University & Narvik University College.
Papers
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Journal ArticleDOI
The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary☆
TL;DR: In this article, the authors studied the asymptotic behavior of the solution to boundary-value problem for the second order elliptic equation in the bounded domain with a very rapidly oscillating locally periodic boundary and showed that the limiting problem can involve Dirichlet, Fourier or Neumann boundary conditions depending on the structure of the coefficient of the original problem.
Book
Homogenization: Methods and Applications
TL;DR: In this paper, the authors discuss applications of homogenization methods and apply them to a variety of applications.Related topics Homogenization Methods Applications of homogeneization methods Bibliography Index.
Journal ArticleDOI
Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary
Journal ArticleDOI
Homogenization of Boundary-Value Problem in a Locally Periodic Perforated Domain
TL;DR: In this paper, a model homogenization problem for the Poisson equation in a locally periodic perforated domain with the smooth exterior boundary, the Fourier boundary condition being posed on the boundary of the holes, is considered.
Journal ArticleDOI
Asymptotic expansions of eigenvalues and eigenfunctions of an elliptic operator in a domain with many "light" concentrated masses situated on the boundary. Two-dimensional case
TL;DR: In this paper, the asymptotic behaviour of the frequencies of eigenvibrations of the membrane as the small parameter (which char- acterizes the diameter and density of the concentrated masses) tends to zero is studied.