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Asymptotic Analysis for Periodic Structures (Studies in mathematics and its applications)
Asymptotic Analysis for Periodic Structures (Studies in mathematics and its applications)
Date: 11 June 2011, 02:01

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In Mechanics, Physics, Chemistry and Engineering, in the study of composite materials, macroscopic properties of crystalline or polymer structures, nuclear reactor design, etc., one is led to the study of boundary value problems in media with periodic structure.
If the period of the structure is small compared to the size of the region in which the system is to be studied, then an asymptotic analysis is called for: to obtain an asymptotic expansion of the solution in terms of a small parameter e which is the ratio of the period of the structure to a typical length in the region. In other words, to obtain by systematic expansion procedures the passage from a microscopic description to a macroscopic description of the behavior of the system.

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