The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems (Series in Contemporary Mathematics, 3)
Language: English
Published by Springer, 2018
- Hardcover
- New
Seller: Ria Christie Collections, Uxbridge, United KingdomRia Christie Collections
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In English.
Seller Inventory # ria9789811330315_new
- Title
- The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems (Series in Contemporary Mathematics, 3)
- Author
- Cioranescu, Doina; Damlamian, Alain; Griso, Georges
- Publisher
- Springer
- Publication year
- 2018
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 981133031X
- ISBN 13
- 9789811330315
- Item weight
- 1,044 grams
- Series
- Book 3 of 4: Series in Contemporary Mathematics
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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