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Titlebook: Homogenization of Differential Operators and Integral Functionals; V. V. Jikov,S. M. Kozlov,O. A. Oleinik Book 1994 Springer-Verlag Berlin

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發(fā)表于 2025-3-21 20:08:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Homogenization of Differential Operators and Integral Functionals
編輯V. V. Jikov,S. M. Kozlov,O. A. Oleinik
視頻videohttp://file.papertrans.cn/429/428130/428130.mp4
圖書封面Titlebook: Homogenization of Differential Operators and Integral Functionals;  V. V. Jikov,S. M. Kozlov,O. A. Oleinik Book 1994 Springer-Verlag Berlin
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
doihttps://doi.org/10.1007/978-3-642-84659-5
isbn_softcover978-3-642-84661-8
isbn_ebook978-3-642-84659-5
copyrightSpringer-Verlag Berlin Heidelberg 1994
The information of publication is updating

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沙發(fā)
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istinct 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
板凳
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Homogenization and Percolation,erated in such a way that any two consecutive numbers correspond to neighboring or linked squares. A set . consisting of black squares is . if for any pair of squares belonging to . there exists a path containing these squares and belonging to .. Obviously, the set . is a union of separate connected components, which are called ..
地板
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Book 1994the- 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 usua
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Elementary Soft and Stiff Problems, speak of ., or a .; if, on the other hand, the inverse matrix . = 0, then we are dealing with ., or a .. As a rule, the matrix .(.) is constant outside the inclusions, and therefore we have a kind of two-phase periodic medium.
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Spectral Problems in Homogenization Theory, operators. Direct application of these theorems allows us to describe asymptotic properties of eigenvalues and eigenfunctions for a wide class of boundary value problems with a small parameter which arise in the homogenization theory of differential operators.
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V. V. Jikov,S. M. Kozlov,O. A. Oleinikctive and colorful though indistinct cultural otherness, quite dislocated from its gritty realities of economic and political instability, mass poverty, and everyday violence. There is a vogue for the consumption of all things Latin American: notably music and dance, seen for example in downtown liv
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