Автор: Palatucci Giampiero, Kuusi Tuomo Название: Recent Developments in Nonlocal Theory ISBN: 3110571552 ISBN-13(EAN): 9783110571554 Издательство: Walter de Gruyter Рейтинг: Цена: 262070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This edited volume aims at giving an overview of recent advances in the theory and applications of Partial Differential Equations and energy functionals related to the fractional Laplacian operator as well as to more general integro-differential operators with singular kernel of fractional differentiability. After being investigated firstly in Potential Theory and Harmonic Analysis, fractional operators defined via singular integral are nowadays riveting great attention in different research fields related to Partial Differential Equations with nonlocal terms, since they naturally arise in many different contexts, as for instance, dislocations in crystals, nonlocal minimal surfaces, the obstacle problem, the fractional Yamabe problem, and many others. Much progress has been made during the last years, and this edited volume presents a valuable update to a wide community interested in these topics.
List of contributors Claudia Bucur, Zhen-Qing Chen, Francesca Da Lio, Donatella Danielli, Serena Dipierro, Rupert L. Frank, Maria del Mar Gonzalez, Moritz Kassmann, Tuomo Kuusi, Giuseppe Mingione, Giovanni Molica Bisci, Stefania Patrizi, Xavier Ros-Oton, Sandro Salsa, Yannick Sire, Enrico Valdinoci, Xicheng Zhang.
Автор: Beghin Luisa, Mainardi Francesco, Garrappa Roberto Название: Nonlocal and Fractional Operators ISBN: 3030692353 ISBN-13(EAN): 9783030692353 Издательство: Springer Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The purpose of this volume is to explore new bridges between different research areas involved in the theory and applications of the fractional calculus.
Автор: Donatella Danielli, Arshak Petrosyan, Camelia A. Pop Название: New Developments in the Analysis of Nonlocal Operators ISBN: 1470441101 ISBN-13(EAN): 9781470441104 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108680.00 T Наличие на складе: Невозможна поставка. Описание: This volume contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators, held from October 28-30, 2016, at the University of St. Thomas, Minneapolis, Minnesota. Problems represented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives and the behavior of the one-phase Bernoulli-type free boundary near a fixed boundary and its relation to a Signorini-type problem.
Автор: Jos? M. Maz?n; Julio Daniel Rossi; J. Juli?n Toled Название: Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets ISBN: 3030062422 ISBN-13(EAN): 9783030062422 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them. These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately rescaled, they converge toward the classical perimeter and curvature as the rescaling parameter tends to zero. In this way, the usual notions can be recovered by using the nonlocal ones. In addition, nonlocal heat content is studied and an asymptotic expansion is obtained. Given its scope, the book is intended for undergraduate and graduate students, as well as senior researchers interested in analysis and/or geometry.
Автор: Claudia Bucur; Enrico Valdinoci Название: Nonlocal Diffusion and Applications ISBN: 3319287389 ISBN-13(EAN): 9783319287386 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrodinger equations are given.
Автор: Andrey Anatoljevich Grib; Waldyr Alves Rodrigues J Название: Nonlocality in Quantum Physics ISBN: 1461371228 ISBN-13(EAN): 9781461371229 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The nonlocality phenomena exhibited by entangled quantum systems are certainly one of the most extraordinary aspects of quantum theory. Recent results on cryptography, quantum bit commitment, quantum erasers and teleportation are also presented and discussed.
Автор: Bashir Ahmad, Sotiris K Ntouyas Название: Nonlocal Nonlinear Fractional-order Boundary Value Problems ISBN: 9811230404 ISBN-13(EAN): 9789811230400 Издательство: World Scientific Publishing Рейтинг: Цена: 184800.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
There has been a great advancement in the study of fractional-order nonlocal nonlinear boundary value problems during the last few decades. The interest in the subject of fractional-order boundary value problems owes to the extensive application of fractional differential equations in many engineering and scientific disciplines. Fractional-order differential and integral operators provide an excellent instrument for the description of memory and hereditary properties of various materials and processes, which contributed significantly to the popularity of the subject and motivated many researchers and modelers to shift their focus from classical models to fractional order models. Some peculiarities of physical, chemical or other processes happening inside the domain cannot be formulated with the aid of classical boundary conditions. This limitation led to the consideration of nonlocal and integral conditions which relate the boundary values of the unknown function to its values at some interior positions of the domain.
The main objective for writing this book is to present some recent results on single-valued and multi-valued boundary value problems, involving different kinds of fractional differential and integral operators, and several kinds of nonlocal multi-point, integral, integro-differential boundary conditions. Much of the content of this book contains the recent research published by the authors on the topic.
Автор: Peter William Egolf, Kolumban Hutter Название: Nonlinear, Nonlocal and Fractional Turbulence ISBN: 3030260321 ISBN-13(EAN): 9783030260323 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Nonlinearity has established itself quite well, but so far only a very small number of general nonlocal concepts and no concrete nonlocal turbulent flow solutions were available. This book presents the first analytical and numerical solutions of elementary turbulent flow problems, mainly based on a nonlocal closure.
Автор: Qiang Du Название: Nonlocal Modeling, Analysis, and Computation ISBN: 1611975611 ISBN-13(EAN): 9781611975611 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 51410.00 T Наличие на складе: Невозможна поставка. Описание: Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas.Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for well-posedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and fracture mechanics.A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to traditional local systems represented by partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly and to remain valid for complex systems involving possible singular solutions and they have the potential to be alternatives to as well as bridges to existing local continuum and discrete models.The author discusses ongoing studies of nonlocal models to encourage the discovery of new mathematical theory for nonlocal continuum models and offer new perspectives on existing discrete models and local continuum models and the connections between them.
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