An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications)
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Book Description
Composite materials are widely used in industry and include such well known examples as superconductors and optical fibers. However, modeling these materials is difficult, since they often has different properties at different points. The mathematical theory of homogenization is designed to
handle this problem. The theory uses an idealized homogenous material to model a real composite while taking into account the microscopic structure. This introduction to homogenization theory develops the natural framework of the theory with four chapters on variational methods for partial
differential equations. It then discusses the homogenization of several kinds of second-order boundary value problems. It devotes separate chapters to the classical examples of stead and non-steady heat equations, the wave equation, and the linearized system of elasticity. It includes numerous
illustrations and examples.
Book Info
Provides a selfcontained and authoritative introduction to the mathematical theory of homogenization, which describes the replacement of a real composite material by a fictitious homogeneous one.
An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications),Doina Cioranescu,Patrizia Donato,Oxford University Press, USA,0198565542,Applied,Differential Equations,Homogenization (Differential e,Homogenization (Differential equations),Materials,Mathematical Models,Mathematics,Partial Differential Equations,Physics,Science/Mathematics,Mathematics / Calculus,Mathematics for scientists & engineers,Mathematics | Applied Mathematics
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