<電子ブック>
Homogenization of Differential Operators and Integral Functionals / by V.V. Jikov, S.M. Kozlov, O.A. Oleinik
版 | 1st ed. 1994. |
---|---|
出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 1994 |
大きさ | XI, 570 p : online resource |
著者標目 | *Jikov, V.V author Kozlov, S.M author Oleinik, O.A author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Mathematical physics LCSH:Probabilities FREE:Analysis FREE:Theoretical, Mathematical and Computational Physics FREE:Probability Theory |
一般注記 | 1 Homogenization of Second Order Elliptic Operators with Periodic Coefficients -- 2 An Introduction to the Problems of Diffusion -- 3 Elementary Soft and Stiff Problems -- 4 Homogenization of Maxwell Equations -- 5 G-Convergence of Differential Operators -- 6 Estimates for the Homogenized Matrix -- 7 Homogenization of Elliptic Operators with Random Coefficients -- 8 Homogenization in Perforated Random Domains -- 9 Homogenization and Percolation -- 10 Some Asymptotic Problems for a Non-Divergent Parabolic Equation with Random Stationary Coefficients -- 11 Spectral Problems in Homogenization Theory -- 12 Homogenization in Linear Elasticity -- 13 Estimates for the Homogenized Elasticity Tensor -- 14 Elements of the Duality Theory -- 15 Homogenization of Nonlinear Variational Problems -- 16 Passing to the Limit in Nonlinear Variational Problems -- 17 Basic Properties of Abstract ?-Convergence -- 18 Limit Load -- Appendix A. Proof of the Nash-Aronson Estimate -- Appendix C. A Property of Bounded Lipschitz Domains -- References It was mainly during the last two decades that the theory of homogenization or averaging of partial differential equations took shape as a distinct mathe matical discipline. This theory has a lot of important applications in mechanics of composite and perforated materials, filtration, disperse media, and in many other branches of physics, mechanics and modern technology. There is a vast literature on the subject. The term averaging has been usually associated with the methods of non linear mechanics and ordinary differential equations developed in the works of Poincare, Van Der Pol, Krylov, Bogoliubov, etc. For a long time, after the works of Maxwell and Rayleigh, homogeniza tion problems for· partial differential equations were being mostly considered by specialists in physics and mechanics, and were staying beyond the scope of mathematicians. A great deal of attention was given to the so called disperse media, which, in the simplest case, are two-phase media formed by the main homogeneous material containing small foreign particles (grains, inclusions). Such two-phase bodies, whose size is considerably larger than that of each sep arate inclusion, have been discovered to possess stable physical properties (such as heat transfer, electric conductivity, etc.) which differ from those of the con stituent phases. For this reason, the word homogenized, or effective, is used in relation to these characteristics. An enormous number of results, approximation formulas, and estimates have been obtained in connection with such problems as electromagnetic wave scattering on small particles, effective heat transfer in two-phase media, etc HTTP:URL=https://doi.org/10.1007/978-3-642-84659-5 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783642846595 |
|
電子リソース |
|
EB00206614 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000110355 |
ISBN | 9783642846595 |
類似資料
この資料の利用統計
このページへのアクセス回数:5回
※2017年9月4日以降