WorldCat Identities

Shepelsky, D. (Dmitry)

Overview
Works: 4 works in 17 publications in 1 language and 651 library holdings
Roles: Translator, Editor
Publication Timeline
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Most widely held works by D Shepelsky
Homogenization of partial differential equations by V. A Marchenko( )

8 editions published between 2006 and 2008 in English and held by 485 WorldCat member libraries worldwide

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models. The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: non-local models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text
Spectral theory and differential equations : V.A. Marchenko's 90th anniversary collection by V. A Marchenko( Book )

7 editions published in 2014 in English and held by 158 WorldCat member libraries worldwide

A feschrift of contributed articles in honor of V. A. Marchenko's 90th birthday. --
Spectral theory and differential equations V.A. Marchenko's 90th anniversary collection( Book )

1 edition published in 2014 in English and held by 7 WorldCat member libraries worldwide

Spectral theory and differential equations : V. A. Marchenko's 90th anniversary collection( Book )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.60 (from 0.56 for Homogeniza ... to 0.97 for Spectral t ...)

Homogenization of partial differential equations
Covers
Alternative Names
Shepelʹskiĭ, Dmitriĭ

Shepelsky, Dmitry

Shepelʹskyĭ, Dmitryĭ

Шепельский, Дмитрий

Languages
English (17)