Homogenization of Multiple Integrals (Oxford Lecture Series in Mathematics and Its Applications) - Hardcover

Braides, Andrea; Defranceschi, Anneliese

 
9780198502463: Homogenization of Multiple Integrals (Oxford Lecture Series in Mathematics and Its Applications)
Hardcover
ISBN 10: 019850246X ISBN 13: 9780198502463
Publisher: Clarendon Press, 1999

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.

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About the Author

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

"About this title" may belong to another edition of this title.

Publisher
Clarendon Press
Publication date
1999
Language
English
ISBN 10 
019850246X
ISBN 13 
9780198502463
Binding
Hardcover
Edition number
1
Number of pages
312