Recent Developments in Nonlocal Theory, Palatucci Giampiero, Kuusi Tuomo
Автор: Claudia Bucur; Enrico Valdinoci Название: Nonlocal Diffusion and Applications ISBN: 3319287389 ISBN-13(EAN): 9783319287386 Издательство: Springer Рейтинг: Цена: 7685.00 р. 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: 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: 27720.00 р. 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.
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.
Автор: Molica Bisci Название: Variational Methods for Nonlocal Fractional Problems ISBN: 1107111943 ISBN-13(EAN): 9781107111943 Издательство: Cambridge Academ Рейтинг: Цена: 21226.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Peter William Egolf, Kolumban Hutter Название: Nonlinear, Nonlocal and Fractional Turbulence ISBN: 3030260321 ISBN-13(EAN): 9783030260323 Издательство: Springer Рейтинг: Цена: 19564.00 р. 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: 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: 7685.00 р. 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.
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.
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.
Автор: Julien Barral; St?phane Seuret Название: Recent Developments in Fractals and Related Fields ISBN: 3319578030 ISBN-13(EAN): 9783319578033 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering.
Автор: Roland Durier; Christian Michelot Название: Recent Developments in Optimization ISBN: 3540600418 ISBN-13(EAN): 9783540600411 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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 Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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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