Mathematical Problems In Elasticity And Homogenization, Volume 26 (studies In Mathematics And Its Applications)
by O.A. Oleinik /
1992 / English / PDF
9.5 MB Download
This monograph is based on research undertaken by the authors
during the last ten years. The main part of the work deals with
homogenization problems in elasticity as well as some mathematical
problems related to composite and perforated elastic materials.
This study of processes in strongly non-homogeneous media brings
forth a large number of purely mathematical problems which are very
important for applications. Although the methods suggested deal
with stationary problems, some of them can be extended to
non-stationary equations. With the exception of some well-known
facts from functional analysis and the theory of partial
differential equations, all results in this book are given detailed
mathematical proof.
This monograph is based on research undertaken by the authors
during the last ten years. The main part of the work deals with
homogenization problems in elasticity as well as some mathematical
problems related to composite and perforated elastic materials.
This study of processes in strongly non-homogeneous media brings
forth a large number of purely mathematical problems which are very
important for applications. Although the methods suggested deal
with stationary problems, some of them can be extended to
non-stationary equations. With the exception of some well-known
facts from functional analysis and the theory of partial
differential equations, all results in this book are given detailed
mathematical proof.
It is expected that the results and methods presented in this
book will promote further investigation of mathematical models
for processes in composite and perforated media, heat-transfer,
energy transfer by radiation, processes of diffusion and
filtration in porous media, and that they will stimulate research
in other problems of mathematical physics and the theory of
partial differential equations.
It is expected that the results and methods presented in this
book will promote further investigation of mathematical models
for processes in composite and perforated media, heat-transfer,
energy transfer by radiation, processes of diffusion and
filtration in porous media, and that they will stimulate research
in other problems of mathematical physics and the theory of
partial differential equations.
