Cioranescu Doina, Damlamian Alain, Griso Georges The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems 9789811330315

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Автор: Cioranescu Doina, Damlamian Alain, Griso Georges
Название: The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems
ISBN: 9789811330315
Издательство: Springer
Классификация:

Основы высшей математики и математический анализ

Дифференциальное исчисление и дифференциальные уравнения

Материаловедение

Механика твердых тел

Технологии производства энергии и энергетика

ISBN-10: 981133031X
Обложка/Формат: Hardcover
Страницы: 513
Вес: 0.92 кг.
Дата издания: 16.12.2018
Серия: Series in contemporary mathematics
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 1 illustrations, black and white; xv, 515 p. 1 illus.
Размер: 234 x 156 x 30
Читательская аудитория: Professional & vocational
Подзаголовок: Theory and applications to partial differential problems
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This is the first book on the subject of the periodic unfolding method (originally called ?clatement p?riodique in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDEs. 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.
Дополнительное описание: Unfolding operators in fixed domains.- Advanced topics for unfolding.- Homogenization in fixed domains.- Unfolding operators in perforated domains.- Homogenization in perforated domains.- A Stokes problem in a partially porous medium.- Partial unfolding:

The Periodic Unfolding Method: Theory and Applications to Partial Differential Problems, Cioranescu Doina, Damlamian Alain, Griso Georges