Series in Contemporary Mathematics

The Periodic Unfolding Method

Theory and Applications to Partial Differential Problems

Authors: Cioranescu, Doina, Damlamian, Alain, Griso, Georges

Free Preview
  • The first book presenting the Periodic Unfolding Method in detail, written by the three mathematicians who developed it
    Significantly clarifies and simplifies the approach of homogenization for partial differential problems
    Contains detailed theory, as well as numerous and varied examples of applications

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-981-13-3032-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-981-13-3031-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This is the first book on the subject of the periodic unfolding method (originally called "éclatement périodique" in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's. It has since led to the solution of some open problems.

 Written by the three mathematicians who developed the method, the book presents both the theory as well as numerous examples of applications for partial differential problems with rapidly oscillating coefficients: in fixed domains (Part I), in periodically perforated domains (Part II), and in domains with small holes generating a strange term (Part IV).  The method applies to the case of multiple microscopic scales (with finitely many distinct scales) which is connected to partial unfolding (also useful for evolution problems). This is discussed in the framework of oscillating boundaries (Part III).  A detailed example of its application to linear elasticity is presented in the case of thin elastic plates (Part V).  Lastly, a complete determination of correctors for the model problem in Part I is obtained (Part VI).

This book can be used as a graduate textbook to introduce the theory of homogenization of partial differential problems, and is also a must for researchers interested in this field.

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-981-13-3032-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-981-13-3031-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
The Periodic Unfolding Method
Book Subtitle
Theory and Applications to Partial Differential Problems
Authors
Series Title
Series in Contemporary Mathematics
Series Volume
3
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-3032-2
DOI
10.1007/978-981-13-3032-2
Hardcover ISBN
978-981-13-3031-5
Series ISSN
2364-009X
Edition Number
1
Number of Pages
XV, 513
Number of Illustrations
43 illustrations in colour
Topics