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Getting Acquainted with Homogenization and Multiscale
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.
Emerging Problems in the Homogenization of Partial Differential Equations
This book contains some of the results presented at the mini-symposium titled Emerging Problems in the Homogenization of Partial Differential Equations, held during the ICIAM2019 conference in Valencia in July 2019. The papers cover a large range of topics, problems with weak regularity data involving renormalized solutions, eigenvalue problems for complicated shapes of the domain, homogenization of partial differential problems with strongly alternating boundary conditions of Robin type with large parameters, multiscale analysis of the potential action along a neuron with a myelinated axon, and multi-scale model of magnetorheological suspensions. The volume is addressed to scientists who deal with complex systems that presents several elements (characteristics, constituents...) of very different scales, very heterogeneous, and search for homogenized models providing an effective (macroscopic) description of their behaviors.
Gas Dynamics with Applications in Industry and Life Sciences
This proceedings volume gathers selected contributions presented at two instances of the "JSPS/SAC Seminar: On Gas Kinetic/Dynamics and Life Science", held by the Chalmers University of Technology and University of Gothenburg, Sweden, on March 25-26, 2021 (virtual) and March 17-18, 2022 (virtual). Works in this book provide a concise approach to the theoretical and numerical analysis of kinetic type equations that arise, for example, in modeling industrial, medical, and environmental problems. Readers will find some of the most recent theoretical results, newly developed numerical methods in the field, and some open problems. Possible application areas encompass fission/fusion energy, electr...
Homogenization Theory for Multiscale Problems
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.
Homogénéisation en milieu périodique... ou non
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. Cet ouvrage est une introduction pédagogique à la théorie de l’homogénéisation, et aux approches numériques associées, pour la compréhension et la simulation des problèmes à plusieurs échelles. La présentation est axée sur les différentes hypothèses possibles pour mettre en œuvre la théorie, selon que le milieu ambiant a une géométrie périodique ou non. Le public visé est celui des cycles M et D des universités ainsi que celui des écoles d’ingénieurs et formations équivalentes.
Mathematical Reviews
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Ukraine
A definitive contemporary political, economic, and cultural history from a leading international expert, this is the first single-volume work to survey and analyze Soviet and post-Soviet Ukrainian history since 1953 as the basis for understanding the nation today. Ukraine dominated international headlines as the Euromaidan protests engulfed Ukraine in 2013–2014 and Russia invaded the Crimea and the Donbas, igniting a new Cold War. Written from an insider's perspective by the leading expert on Ukraine, this book analyzes key domestic and external developments and provides an understanding as to why the nation's future is central to European security. In contrast with traditional books that ...
Seize the City, Undo the State
How do separatist conflicts arise and spread? When does separatism become a cover for a foreign aggression? How do local communities respond when state institutions collapse, and militants take over? The armed conflict in Eastern Ukraine, which started eight years before Russia's full-scale invasion, contains unique evidence to address each of these questions. In Seize the City, Undo the State, Serhiy Kudelia offers an authoritative study of the conflict at its initial stage--2013-14--based on a meticulous comparison of mobilization dynamics in over dozen towns of Donbas as well as in two major cities outside of it: Kharkiv and Odesa. Through his extensive travels and numerous interviews wit...
Advanced System Development Technologies I
This book covers vibroacoustic monitoring, inertial attitude systems, and control system for device processing in complex objects. Modern approaches to the synthesis of algorithmic support for a strapdown inertial attitude system are considered. The general characteristics of navigation systems and the composition of their inertial measurement unit are given. The methods of initial alignment of the system on a stationary base are described. Particular attention is paid to the attitude kinematic parameters of the body frame and methods of their numerical integration. Picard's methods for integrating the Bortz and Poisson kinematic equations are shown. An algorithm for a strapdown inertial att...
