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Emerging Problems in the Homogenization of Partial Differential Equations, Donato Patrizia, Luna-Laynez Manuel


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Автор: Donato Patrizia, Luna-Laynez Manuel
Название:  Emerging Problems in the Homogenization of Partial Differential Equations
ISBN: 9783030620325
Издательство: Springer
Классификация:



ISBN-10: 3030620328
Обложка/Формат: Paperback
Страницы: 128
Вес: 0.19 кг.
Дата издания: 02.02.2022
Серия: Iciam 2019 sema simai springer series
Язык: English
Издание: 1st ed. 2021
Иллюстрации: 11 illustrations, color; 3 illustrations, black and white; xi, 114 p. 14 illus., 11 illus. in color.
Размер: 23.39 x 15.60 x 0.69 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Nika, G. and Vernescu, B., Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids.- Jerez-Hanckes, C. et al., Multiscale analysis of myelinated axons.- Pйrez-Martнnez, M., Homogenization for alternating boundary conditions with large reaction terms concentrated in small regions.- G. Fulgencio, R. and Guibй, O., Quasilinear Elliptic Problems in a Two-Component Domain with L 1 data.- Donato, P. et al., Homogenization of an eigenvalue problem in a two-component domain with interfacial jump.


Numerical Homogenization by Localized Orthogonal Decomposition

Автор: Axel Malqvist, Daniel Peterseim
Название: Numerical Homogenization by Localized Orthogonal Decomposition
ISBN: 1611976448 ISBN-13(EAN): 9781611976441
Издательство: Mare Nostrum (Eurospan)
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Цена: 6145.00 р.
Наличие на складе: Нет в наличии.

Описание: This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including previously unpublished results, and a complete implementation of the method in MATLAB. They also reveal how the LOD method relates to classical homogenization and domain decomposition. Illustrated with numerical experiments that demonstrate the significance of the method, the book is enhanced by a survey of applications including eigenvalue problems and evolution problems.Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.

Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization

Автор: Jesus Ildefonso Diaz, David Gomez-Castro, Tatiana A. Shaposhnikova
Название: Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization
ISBN: 3110647273 ISBN-13(EAN): 9783110647273
Издательство: Walter de Gruyter
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Цена: 18214.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jurgen Appell, Wurzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Torun, Poland Vicentiu D. Radulescu, Krakow, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jurgen Appell . Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Homogenization of Differential Operators and Integral Functionals

Автор: V.V. Jikov; G.A. Yosifian; S.M. Kozlov; O.A. Olein
Название: Homogenization of Differential Operators and Integral Functionals
ISBN: 3642846610 ISBN-13(EAN): 9783642846618
Издательство: Springer
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Цена: 15372.00 р.
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Описание: A great deal of attention was given to the so called disperse media, which, in the simplest case, are two-phase media formed by the main homogeneous material containing small foreign particles (grains, inclusions).

Homogenization of Reticulated Structures

Автор: Doina Cioranescu; Jeannine Saint Jean Paulin
Название: Homogenization of Reticulated Structures
ISBN: 1461274370 ISBN-13(EAN): 9781461274377
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Materials science is an area of growing research as composite materials become widely used in such areas as civil engineering, electrotechnics, and the aerospace industry.

Getting Acquainted with Homogenization and Multiscale

Автор: Leonid Berlyand; Volodymyr Rybalko
Название: Getting Acquainted with Homogenization and Multiscale
ISBN: 3030017761 ISBN-13(EAN): 9783030017767
Издательство: Springer
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Цена: 5589.00 р.
Наличие на складе: Поставка под заказ.

Описание: 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.

Periodic Homogenization of Elliptic Systems

Автор: Zhongwei Shen
Название: Periodic Homogenization of Elliptic Systems
ISBN: 3030081990 ISBN-13(EAN): 9783030081997
Издательство: Springer
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Цена: 12577.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of convergence rates of solutions. The main body of the monograph investigates various interior and boundary regularity estimates that are uniform in the small parameter e>0. Additional topics include convergence rates for Dirichlet eigenvalues and asymptotic expansions of fundamental solutions, Green functions, and Neumann functions. The monograph is intended for advanced graduate students and researchers in the general areas of analysis and partial differential equations. It provides the reader with a clear and concise exposition of an important and currently active area of quantitative homogenization.

Emerging Problems in the Homogenization of Partial Differential Equations

Автор: Donato Patrizia, Luna-Laynez Manuel
Название: Emerging Problems in the Homogenization of Partial Differential Equations
ISBN: 3030620298 ISBN-13(EAN): 9783030620295
Издательство: Springer
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Nika, G. and Vernescu, B., Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids.- Jerez-Hanckes, C. et al., Multiscale analysis of myelinated axons.- Pйrez-Martнnez, M., Homogenization for alternating boundary conditions with large reaction terms concentrated in small regions.- G. Fulgencio, R. and Guibй, O., Quasilinear Elliptic Problems in a Two-Component Domain with L 1 data.- Donato, P. et al., Homogenization of an eigenvalue problem in a two-component domain with interfacial jump.

G-Convergence and Homogenization of Nonlinear Partial Differential Operators

Автор: A.A. Pankov
Название: G-Convergence and Homogenization of Nonlinear Partial Differential Operators
ISBN: 079234720X ISBN-13(EAN): 9780792347200
Издательство: Springer
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Цена: 13275.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Deals with G-convergence and homogenization for various classes of nonlinear partial differential operators. This work is suitable for researchers whose work involves homogenization theory and its applications. It is also recommended for advanced courses in the fields of partial differential equations and nonlinear analysis.

Homogenization in Time of Singularly Perturbed Mechanical Systems

Автор: Folkmar Bornemann
Название: Homogenization in Time of Singularly Perturbed Mechanical Systems
ISBN: 3540644474 ISBN-13(EAN): 9783540644477
Издательство: Springer
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Цена: 4186.00 р.
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Описание: This text is about the elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and the understanding of model hierarchies. The author presents his method, homogenization in time, based on energy principles and weak convergence techniques.

Periodic Homogenization of Elliptic Systems

Автор: Shen
Название: Periodic Homogenization of Elliptic Systems
ISBN: 3319912135 ISBN-13(EAN): 9783319912134
Издательство: Springer
Рейтинг:
Цена: 12577.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain.

Homogenization and Porous Media

Автор: Hornung U.
Название: Homogenization and Porous Media
ISBN: 1461273390 ISBN-13(EAN): 9781461273394
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.

Quantitative Stochastic Homogenization and Large-Scale Regularity

Автор: Scott Armstrong; Tuomo Kuusi; Jean-Christophe Mour
Название: Quantitative Stochastic Homogenization and Large-Scale Regularity
ISBN: 3030155447 ISBN-13(EAN): 9783030155445
Издательство: Springer
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Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This self-contained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature.


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