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Homogenization of Second Order Elliptic Operators with Periodic Coefficients by Jikov, V. V.; Kozlov, S. M.; Oleinik, O. A. is a nonfiction available to read on EtoBox.

What is Homogenization of Second Order Elliptic Operators with Periodic Coefficients about?

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

Who reads Homogenization of Second Order Elliptic Operators with Periodic Coefficients?

Author

Jikov, V. V.; Kozlov, S. M.; Oleinik, O. A.

Publisher

Springer Berlin Heidelberg

Published

1994

Language

EN

ISBN

9780387548098

Category

nonfiction

Subjects

Mathematics, Science, Physics