Applications of Homogenization Theory to the Study of Mineralized Tissue, Robert P. Gilbert, Ana Vasilic, Sandra Klinge,

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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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: Schulz Volker, Seck Diaraf
Название: Shape Optimization, Homogenization and Optimal Control: Dfg-Aims Workshop Held at the Aims Center Senegal, March 13-16, 2017
ISBN: 3030080234 ISBN-13(EAN): 9783030080235
Издательство: Springer
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Цена: 79190.00 T
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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.

Автор: Hornung U.
Название: Homogenization and Porous Media
ISBN: 1461273390 ISBN-13(EAN): 9781461273394
Издательство: Springer
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Цена: 55890.00 T
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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.

Автор: Gianni Dal Maso; Gianfausto Dell`Antonio
Название: Composite Media and Homogenization Theory
ISBN: 1468467891 ISBN-13(EAN): 9781468467895
Издательство: Springer
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Цена: 46570.00 T
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Описание: This volume contains the Proceedings of the Workshop on Composite Media and Homogenization Theory held in Trieste, Italy, from January 15 to 26, 1990. The workshop was organized by the International Centre for Theo- retical Physics (ICTP); part of the activity was co-sponsored by the Interna- tional School for Advanced Studies (SISSA). The workshop covered a broad range of topics in the mathematical the- ory of composite materials and homogenization. Among the specific areas of focus were homogenization of periodic and nonperiodic structures, porous me- dia, asymptotic analysis for linear and nonlinear problems, optimal bounds for effective moduli, waves in composite materials, optimal design and relaxation, random media. The workshop was actively attended by more than 100 participants from 23 countries. In the afternoon sessions 35 seminars were delivered by the participants. This volume contains research articles corresponding to 14 of the 20 invited talks which were presented. Its content will be of interest both to mathematicians working in the field and to applied mathematicians and engineers interested in modelling the behaviour of composite and random media We are pleased to express here our thanks to the ICTP for having made this workshop possible, to Ms. A. Bergamo for her continuous help during the workshop, and to Ms. C. Parma for her collaboration in editing the proceedings. Gianni Dal Maso Gian Fausto Dell'Antonio SIS SA, Trieste Universita "La Sapienza," Roma v Contents Preface ................................................................................ v List of Speakers ..................................................................... ix Contributors .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Автор: Raul Serapioni; Franco Tomarelli
Название: Variational Methods for Discontinuous Structures
ISBN: 3764352736 ISBN-13(EAN): 9783764352738
Издательство: Springer
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Цена: 121110.00 T
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Описание: In years, many researchers in material science have focused their attention on the study of composite materials, equilibrium of crystals and crack distribution in continua subject to loads. At the same time, several new issues in computer vision and image processing have been studied in depth.

Автор: Carbone, Luciano , De Arcangelis, Riccardo
Название: Unbounded Functionals in the Calculus of Variations
ISBN: 0367455072 ISBN-13(EAN): 9780367455071
Издательство: Taylor&Francis
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Цена: 63280.00 T
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Описание: Over the last few decades, research in elastic-plastic torsion theory, electrostatic screening, and rubber-like nonlinear elastomers has pointed the way to some interesting new classes of minimum problems for energy functionals of the calculus of variations. This advanced-level monograph addresses these issues by developing the framework of a gener

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: 130430.00 T
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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: Donato Patrizia, Luna-Laynez Manuel
Название: Emerging Problems in the Homogenization of Partial Differential Equations
ISBN: 3030620328 ISBN-13(EAN): 9783030620325
Издательство: Springer
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Цена: 93160.00 T
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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.

Автор: Shen
Название: Periodic Homogenization of Elliptic Systems
ISBN: 3319912135 ISBN-13(EAN): 9783319912134
Издательство: Springer
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Цена: 83850.00 T
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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.

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: 37260.00 T
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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.

Автор: Houman Owhadi, Clint Scovel
Название: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: From a Game Theoretic Approach to Numerical Approximation and Algorithm Design
ISBN: 1108484360 ISBN-13(EAN): 9781108484367
Издательство: Cambridge Academ
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Цена: 155230.00 T
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Описание: This book, meant for graduate students and researchers, explores the connections between numerical approximation and statistical inference from a game and decision theoretic perspective, and illustrates these interplays by addressing problems related to numerical homogenization, operator adapted wavelets, and fast solvers.

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: 27910.00 T
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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.