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Recent Developments in Nonlocal Theory, Palatucci Giampiero, Kuusi Tuomo


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Автор: Palatucci Giampiero, Kuusi Tuomo
Название:  Recent Developments in Nonlocal Theory
ISBN: 9783110571554
Издательство: Walter de Gruyter
Издательство: de Gruyter Open Poland
Классификация:
ISBN-10: 3110571552
Обложка/Формат: Hardcover
Страницы: 450
Вес: 1.32 кг.
Дата издания: 30.03.2018
Язык: English
Размер: 25.40 x 17.78 x 3.66 cm
Читательская аудитория: Professional & vocational
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Поставляется из: США
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.




Nonlocal Diffusion and Applications

Автор: Claudia Bucur; Enrico Valdinoci
Название: Nonlocal Diffusion and Applications
ISBN: 3319287389 ISBN-13(EAN): 9783319287386
Издательство: Springer
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Цена: 7685.00 р.
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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.

Nonlocal Nonlinear Fractional-order Boundary Value Problems

Автор: Bashir Ahmad, Sotiris K Ntouyas
Название: Nonlocal Nonlinear Fractional-order Boundary Value Problems
ISBN: 9811230404 ISBN-13(EAN): 9789811230400
Издательство: World Scientific Publishing
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Цена: 27720.00 р.
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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.

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Автор: Matteo Bonforte; Gabriele Grillo; Jos? Antonio Car
Название: Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
ISBN: 3319614932 ISBN-13(EAN): 9783319614939
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems.

Variational Methods for Nonlocal Fractional Problems

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.

Nonlinear, Nonlocal and Fractional Turbulence

Автор: Peter William Egolf, Kolumban Hutter
Название: Nonlinear, Nonlocal and Fractional Turbulence
ISBN: 3030260321 ISBN-13(EAN): 9783030260323
Издательство: Springer
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Цена: 19564.00 р.
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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.

Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

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
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Цена: 7685.00 р.
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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.

Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws

Автор: Rainer Ansorge; Hester Bijl; Andreas Meister; Thom
Название: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
ISBN: 3642437745 ISBN-13(EAN): 9783642437748
Издательство: Springer
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Цена: 36197.00 р.
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Описание: This book examines recent developments in the numerics of partial differential equations. It emphasizes methods of high order and applications in computational fluid dynamics.

An Introduction to Recent Developments in Theory and Numerics for Conservation Laws

Автор: Dietmar Kr?ner; Mario Ohlberger; Christian Rohde
Название: An Introduction to Recent Developments in Theory and Numerics for Conservation Laws
ISBN: 3540650814 ISBN-13(EAN): 9783540650812
Издательство: Springer
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Цена: 15372.00 р.
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Описание: A discussion of theoretical and numerical aspects of systems of conservation laws, which can be considered as a mathematical model for the flows of inviscid compressible fluids. Five specialists in this area give an overview of results.

Recent Developments in Fractals and Related Fields

Автор: Julien Barral; St?phane Seuret
Название: Recent Developments in Fractals and Related Fields
ISBN: 3319578030 ISBN-13(EAN): 9783319578033
Издательство: Springer
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Цена: 22359.00 р.
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Описание: Chapters cover fields related to fractals such as harmonic analysis, multifractal analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, wavelets, potential theory, partial differential equations, fractal tilings, combinatorics, and signal and image processing.

Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

Автор: Xiaobing Feng; Ohannes Karakashian; Yulong Xing
Название: Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
ISBN: 3319018175 ISBN-13(EAN): 9783319018171
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering.

Recent Developments in Optimization

Автор: Roland Durier; Christian Michelot
Название: Recent Developments in Optimization
ISBN: 3540600418 ISBN-13(EAN): 9783540600411
Издательство: Springer
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Цена: 18167.00 р.
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Описание: The main objective of this volume is to provide a presentation and discussion of recent developments in optimization and related fields. Equal emphasis is given to theoretical and practical fields. Topics covered include optimization and variational inequalities and control theory.

Recent Developments in Complex Analysis and Computer Algebra

Автор: R.P. Gilbert; Joji Kajiwara; Yongzhi S. Xu
Название: Recent Developments in Complex Analysis and Computer Algebra
ISBN: 0792359992 ISBN-13(EAN): 9780792359999
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This volume consists of papers presented in the special sessions on "Complex and Numerical Analysis", "Value Distribution Theory and Complex Domains", and "Use of Symbolic Computation in Mathematics Education" of the ISAAC`97 Congress held at the University of Delaware, during June 2-7, 1997.


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