Title: Homogenization of Multiple Integrals (Oxford Lecture Series in Mathematics and Its Applications)
Publisher: Clarendon Press
Publication Date: 1999
Language: English
ISBN 10: 019850246X
ISBN 13: 9780198502463
Binding: Hardcover
Condition: Very Good

About this title

Synopsis

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.

About the Author

Andrea Braides is at SISSA, Trieste. Anneliese Defranceschi is at Parma University.

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