Mathematical Problems in Elasticity and Homogenization (Volume 2): Theory and Numerical Analysis (Studies in Mathematics & Its Applications, Volume 2) - Hardcover

Oleinik, O.A.; Shamaev, A.S.; Yosifian, G.A.

Hardcover

ISBN 10: 0720428408 ISBN 13: 9780720428407

Publisher: North-Holland Publishing Co, 2000

Synopsis

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.

Edition details

• Publisher: North-Holland Publishing Co
• Publication date: 2000
• ISBN 10: 0720428408
• ISBN 13: 9780720428407
• Binding: Hardcover
• Language: English
• Number of pages: 499