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Homogenization of Multiple Integrals (Oxford…

Homogenization of Multiple Integrals (Oxford Lecture Series in Mathematics…

by Andrea Braides

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Amazon.com Product Description (ISBN 019850246X, Hardcover)

Homogenization theory describes the macroscopic properties of structures with fine microstructure. Its applications are diverse and include optimal design and the study of composites. The theory relies on the asymptotic analysis of fast-oscillating differential equations or integral functionals. This book is an introduction to the homogenization of nonlinear integral functionals. It emphasizes general results that do not rely on smoothness or convexity assumptions. The book presents a rigorous mathematical description of the overall properties of such functionals, with various applications that range from cellular elastic materials to Riemannian metrics and Hamilton-Jacobi equations. The book also includes self-contained introductions to the theories of gamma-convergence and weak lower semicontinuous functionals.

(retrieved from Amazon Thu, 12 Mar 2015 18:15:57 -0400)

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