Gregory A. Chechkin

Prof. Gregory A. Chechkin

Department of Differential Equations, M.V.Lomonosov Moscow State University, Moscow 119991, Russia.
orcid

Research Focus & Metrics

Academic Career Length

34Years (1993-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

View All Publications
1 March 1999 in Journal of Mathematical Analysis and Applications
Verified
Journal Article
Closed access
PDF file
Gregory A. ChechkinGregory A. Chechkin
Gregory A. Chechkin
AFAvner Friedmanb
Avner Friedmanb
APAndrey L. Piatnitski
Andrey L. Piatnitski

1 August 1998 in Siberian Mathematical Journal
Verified
Journal Article
Closed access
PDF file
ABAlexander Belyaev
Alexander Belyaev
APA. L. Pyatnitskiî
A. L. Pyatnitskiî
Gregory A. ChechkinGregory A. Chechkin
Gregory A. Chechkin

1 January 2011 in Stochastic Processes and their Applications
Verified
Journal Article
Closed access
YAYoucef Amirat
Youcef Amirat
OBOlivier Bodart
Olivier Bodart
Gregory A. ChechkinGregory A. Chechkin
Gregory A. Chechkin
APAndrey L. Piatnitski
Andrey L. Piatnitski

1 January 2006 in Computational Mathematics and Mathematical Physics
Verified
Journal Article
Closed access
PDF file
YAY. Amirat
Y. Amirat
Gregory A. ChechkinGregory A. Chechkin
Gregory A. Chechkin
RGR. R. Gadyl’SHin
R. R. Gadyl’SHin
The asymptotic behavior of solutions to spectral problems for the Laplace operator in a domain with a rapidly oscillating boundary is analyzed. The leading terms of the asymptotic expansions for...

28 February 1994 in Sbornik: Mathematics
Verified
Journal Article
Closed access
Gregory A. ChechkinGregory A. Chechkin
Gregory A. Chechkin

1 January 1999 in SIAM Journal on Applied Mathematics
Verified
Journal Article
Closed access
ABAlexander Belyaev
Alexander Belyaev
Gregory A. ChechkinGregory A. Chechkin
Gregory A. Chechkin
RGRustem R. Gadyl'Shin
Rustem R. Gadyl'Shin
The paper deals with a mathematical model of a steady-state diffusion process through a periodic membrane. For a wide class of periodic membranes, we define the effective permeability and obtain upper and lower estimates of the effective permeability. For periodic membranes made from two materials with different absorbing properties, we study the asymptotic behavior of the effective permeability when the fraction of one material tends to zero (low concentration asymptotics). When the low fraction material forms homothetically vanishing disperse periodic inclusions in the host material, low concentration approximations are built by the method of matched asymptotic expansions. We also show that our results are consistent with those which can be obtained by a boundary homogenization. Finally, we analyze formulas used in physical, chemical, and biological investigations to describe effective membrane properties.