عنوان

The periodic unfolding method :

شابک

9789811330322

شابک

9811330328

شابک اشتباه

9789811330315

شابک اشتباه

981133031X

عنوان اصلي

The periodic unfolding method :

نام عام مواد

[Book]

ساير اطلاعات عنواني

theory and applications to partial differential problems /

نام نخستين پديدآور

Doina Cioranescu, Alain Damlamian, Georges Griso.

محل نشرو پخش و غیره

Singapore :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (xv, 513 pages) :

ساير جزييات

illustrations

عنوان فروست

Series in contemporary mathematics,

مشخصه جلد

volume 3

شاپا ي ISSN فروست

2364-009X ;

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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: a brief primer -- Oscillating boundaries -- Unfolding operators: the case of "small holes" -- Homogenization in domains with "small holes" -- Homogenization of an elastic thin plate -- The scale-splitting operators revisited -- * Strongly oscillating nonhomogeneous Dirichlet condition -- Some sharp error estimates.

بدون عنوان

0

متن يادداشت

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.--

عنوان

Periodic unfolding method.

شماره استاندارد بين المللي کتاب و موسيقي

9789811330315

موضوع مستند نشده

Homogenization (Differential equations)

موضوع مستند نشده

Homogenization (Differential equations)

موضوع مستند نشده

MAT007000

موضوع مستند نشده

PBKJ

موضوع مستند نشده

PBKJ

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Cioranescu, D., (Doïna)

مستند نام اشخاص تاييد نشده

Damlamian, Alain

مستند نام اشخاص تاييد نشده

Griso, Georges

تاريخ عمليات

20200823234828.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y