Getting Acquainted with Homogenization and Multiscale / Compact Textbooks in Mathematics (PDF)
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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.
Volodymyr Rybalko works as a senior research fellow in Mathematical Division, B.Verkin Institute for Low Temperature Physics and Engineering of National Academy of Sciences of Ukraine. He is an expert in the area of PDEs, he is known, in particular, for his contributions in homogenization theory.
- Autoren: Leonid Berlyand , Volodymyr Rybalko
- 2018, 1st ed. 2018, 178 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 303001777X
- ISBN-13: 9783030017774
- Erscheinungsdatum: 22.11.2018
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- Dateiformat: PDF
- Größe: 2.95 MB
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