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An Introduction to Homogenization (Hardcover, New)
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An Introduction to Homogenization (Hardcover, New)
Series: Oxford Lecture Series in Mathematics and Its Applications, 17
Expected to ship within 12 - 17 working days
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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.
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