Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization, David Gomez-Castro, Jesus Ildefonso Diaz, Tatiana A. Shaposhnikova
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)
Автор: Holm Altenbach; Tetsuya Matsuda; Dai Okumura Название: From Creep Damage Mechanics to Homogenization Methods ISBN: 3319194399 ISBN-13(EAN): 9783319194394 Издательство: Springer Рейтинг: Цена: 26122.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume presents a collection of contributions on materials modeling, which were written to celebrate the 65th birthday of Prof. Nobutada Ohno. The book follows Prof. Ohno`s scientific topics, starting with creep damage problems and ending with homogenization methods.
Описание: Homogenization in magnetic-shape-memory polymer composites.- Homogenization of stochastic parabolic equations in varying domains.- Two-Scale Convergence: Obviousness of the Choice of Test Functions? Not Always.- Corrector problem and homogenization of nonlinear elliptic monotone PDE.- Instantaneous optimal control of friction dominated flow in a gas-network.- Multilevel Iterations for the Combined Moving Horizon Estimation and Nonlinear Model Predictive Control for PDE Mod.- Some recent developments in optimal control of multiphase flows.- Localized Model Reduction in PDE Constrained Optimization.- Numerical simulation for the coupled SWE with Long term dynamic of sand dunes.- Coupling the Navier-Stokes equations with a short term dynamic of sand dunes.- Branching Structures in Elastic Shape Optimization.- Shape and Topological Derivatives via One Sided Differentiation of the Minimax of Lagrangian Functionals.- On optimization transfer operators in shape spaces.
Описание: Although several books and conference proceedings have already appeared dealing with either the mathematical aspects or applications of homogenization theory, there seems to be no comprehensive volume dealing with both aspects.
Описание: Various applications of the homogenization theory of partial differential equations resulted in the further development of this branch of mathematics, attracting an increasing interest of both mathematicians and experts in other fields. In general, the theory deals with the following: Let Ak be a sequence of differential operators, linear or nonlinepr. We want to examine the asymptotic behaviour of solutions uk to the equation Auk = f, as k =, provided coefficients of Ak contain rapid oscillations. This is the case, e. g. when the coefficients are of the form a(e/x), where the function a(y) is periodic and ek 0 ask =. Of course, of oscillation, like almost periodic or random homogeneous, are of many other kinds interest as well. It seems a good idea to find a differential operator A such that uk u, where u is a solution of the limit equation Au = f Such a limit operator is usually called the homogenized operator for the sequence Ak . Sometimes, the term "averaged" is used instead of "homogenized". Let us look more closely what kind of convergence one can expect for uk. Usually, we have some a priori bound for the solutions. However, due to the rapid oscillations of the coefficients, such a bound may be uniform with respect to k in the corresponding energy norm only. Therefore, we may have convergence of solutions only in the weak topology of the energy space.
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.
Автор: Scott Armstrong; Tuomo Kuusi; Jean-Christophe Mour Название: Quantitative Stochastic Homogenization and Large-Scale Regularity ISBN: 3030155447 ISBN-13(EAN): 9783030155445 Издательство: Springer Рейтинг: 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.
Автор: Axel Malqvist, Daniel Peterseim Название: Numerical Homogenization by Localized Orthogonal Decomposition ISBN: 1611976448 ISBN-13(EAN): 9781611976441 Издательство: Mare Nostrum (Eurospan) Рейтинг: 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.
Автор: Behrooz Hassani; Ernest Hinton Название: Homogenization and Structural Topology Optimization ISBN: 1447112296 ISBN-13(EAN): 9781447112297 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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).
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.
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