Description

Book Synopsis
The theory of homogenization replaces a real composite material with an imaginary homogeneous one, to describe the macroscopic properties of the composite using the properties of the microscopic structure. This work illustrates the relevant mathematics, logic and methodology with examples.

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'serve as good textbook for a post-graduate course' ZAMM

Table of Contents
1. Weak and weak - convergence in Banach spaces ; 2. Rapidly oscillating periodic functions ; 3. Some classes of Sobolev spaces ; 4. Some variational elliptic problems ; 5. Examples of periodic composite materials ; 6. Homogenization of elliptic equations: the convergence result ; 7. The multiple-scale method ; 8. Tartar's method of oscillating test functions ; 9. The two-scale convergence method ; 10. Homogenization in linearized elasticity ; 11. Homogenization of the heat equation ; 12. Homogenization of the wave equation ; 13. General Approaches to the non-periodic case ; References

An Introduction to Homogenization 17 Oxford Lecture Series in Mathematics and Its Applications

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    A Hardback by Doina Cioranescu, Patrizia Donato

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      Book details

      Publisher Oxford University Press, USA
      Published 11 November 1999
      ISBN-13 9780198565543
      978-0198565543
      ISBN-10 0198565542
      Also in:
      Mathematics Differential calculus and equations Integral calculus and equations

      Description

      Book Synopsis
      The theory of homogenization replaces a real composite material with an imaginary homogeneous one, to describe the macroscopic properties of the composite using the properties of the microscopic structure. This work illustrates the relevant mathematics, logic and methodology with examples.

      Trade Review
      'serve as good textbook for a post-graduate course' ZAMM

      Table of Contents
      1. Weak and weak - convergence in Banach spaces ; 2. Rapidly oscillating periodic functions ; 3. Some classes of Sobolev spaces ; 4. Some variational elliptic problems ; 5. Examples of periodic composite materials ; 6. Homogenization of elliptic equations: the convergence result ; 7. The multiple-scale method ; 8. Tartar's method of oscillating test functions ; 9. The two-scale convergence method ; 10. Homogenization in linearized elasticity ; 11. Homogenization of the heat equation ; 12. Homogenization of the wave equation ; 13. General Approaches to the non-periodic case ; References

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