書目名稱 | Homogenization of Differential Operators and Integral Functionals | 編輯 | V. V. Jikov,S. M. Kozlov,O. A. Oleinik | 視頻video | http://file.papertrans.cn/429/428130/428130.mp4 | 圖書封面 |  | 描述 | 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 poss | 出版日期 | Book 1994 | 關(guān)鍵詞 | Banach Space; Functionals; Ma?; Rang; Variation; differential equation; diffusion; extrema; homogenization; i | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-84659-5 | isbn_softcover | 978-3-642-84661-8 | isbn_ebook | 978-3-642-84659-5 | copyright | Springer-Verlag Berlin Heidelberg 1994 |
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