| An Introduction to Homogenization Contributor(s): Cioranescu, Doina (Author), Donato, Patrizia (Author) |
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ISBN: 0198565542 ISBN-13: 9780198565543 Publisher: Oxford University Press, USA OUR PRICE: $185.25 Product Type: Hardcover Published: February 2000 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Calculus - Mathematics | Mathematical Analysis |
| Dewey: 515.35 |
| LCCN: 99033467 |
| Physical Information: 0.63" H x 6.14" W x 9.21" (1.23 lbs) 272 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |