Asymptotic Analysis for Periodic Structures (Chelsea Publications) - Hardcover

Bensoussan, A.; Lions, J.-L.; Papanicolaou, G.

Hardcover

ISBN 10: 0821853244 ISBN 13: 9780821853245

Publisher: American Mathematical Society, 2011

Synopsis

This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool, combined with energy methods and the construction of test functions for analysis with weak convergence methods. Before this book, multiple scale methods were primarily used for non-linear oscillation problems in the applied mathematics community, not for analyzing spatial oscillations as in homogenization. In the current printing a number of minor corrections have been made, and the bibliography was significantly expanded to include some of the most important recent references. This book gives systematic introduction of multiple scale methods for partial differential equations, including their original use for rigorous mathematical analysis in elliptic, parabolic, and hyperbolic problems, and with the use of probabilistic methods when appropriate. The book continues to be interesting and useful to readers of different backgrounds, both from pure and applied mathematics, because of its informal style of introducing the multiple scale methodology and the detailed proofs.

About this title

About the Author

A. Bensoussan, University of Texas at Dallas, Richardson, TX, USA and Hong Kong Polytechnic University, Kowloon, Hong Kong

J.-L. Lions, G. Papanicolaou, Stanford University, Stanford, CA, USA

Edition details

• Publisher: American Mathematical Society
• Publication date: 2011
• Language: English
• ISBN 10: 0821853244
• ISBN 13: 9780821853245
• Binding: Hardcover
• Number of pages: 392