عنوان

Getting acquainted with homogenization and multiscale /

(Number (ISBN

303001777X

(Number (ISBN

9783030017774

Erroneous ISBN

9783030017767

Title Proper

Getting acquainted with homogenization and multiscale /

General Material Designation

[Book]

First Statement of Responsibility

Leonid Berlyand, Volodymyr Rybalko.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (xviii, 178 pages) :

Other Physical Details

illustrations (some color)

Series Title

Compact textbooks in mathematics,

ISSN of Series

2296-4568

Text of Note

Includes bibliographical references and index.

Text of Note

Chapter 1- Preliminaries -- Chapter 2- What is Homogenization and Multiscale? First Examples -- Chapter 3- Brief History and Surprising Examples in Homogenization -- Chapter 4- Formal Two-scale Asymptotic Expansions and the Corrector Problem -- Chapter 5- Compensated Compactness and Oscillating Test-functions -- Chapter 6- Two-scale Convergence -- Chapter 7- Examples of Explicit Effective Coefficients: Laminated Structures and 2D Checkerboards -- Chapter 8- Introduction to Stochastic Homogenization -- Chapter 9- G-Convergence in Nonlinear Homogenization Problems -- Chapter 10- An Example of a Nonlinear Problem: Homogenization of Plasticity and Limit Loads -- Chapter 11- Continuum Limits for Discrete Problems with Fine Scales -- References -- Appendix: Regular and Singular Perturbations and Boundary Layers -- Index.

0

Text of Note

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.--

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030017774

Homogenization (Differential equations)

Multiscale modeling.

Computers-- Computer Science.

Differential calculus & equations.

Homogenization (Differential equations)

Mathematics-- Applied.

Mathematics-- Differential Equations.

Maths for engineers.

Maths for scientists.

Multiscale modeling.

Number

Edition

Class number

Berlyand, Leonid,1957-

Rybalko, Volodymyr

Date of Transaction

20200823073427.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y