Homogenization Theory for Multiscale Problems
An introduction
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Beschreibung
The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.
The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.
Encompasses deterministic settings and probabilistic settings Mixes the most abstract aspects with some more practical aspects Pedagogical and comprehensive introduction to homogenization
Autor*in
Xavier Blanc
Themen in »Homogenization Theory for Multiscale Problems«
multiscale approaches periodic homogenization homogenization theory stochastic homogenization PDE theory
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“This book also contains some classical results in functional analysis and in the analysis of partial differential equations collected in a useful appendix, which makes it self-contained. This book is an important contribution to the literature on homogenization theory. It is well written, remarkably clear, and mathematically accurate.” (Mustapha El Jarroudi, Mathematical Reviews, February, 2026)
“The monograph is very well written and surely useful and accessible to a large audience. Therefore, in view of both the contents and the clarity of the presentation, the book is recommended to all pure or applied mathematicians interested into homogenization theory.” (Paolo Musolino, zbMATH 1544.35004, 2024)
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