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Evolution Equations With A Complex Spatial Variable, Gal Ciprian G Et Al


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Цена: 11246.00р.
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Автор: Gal Ciprian G Et Al
Название:  Evolution Equations With A Complex Spatial Variable
ISBN: 9789814590594
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9814590592
Обложка/Формат: Hardback
Страницы: 204
Вес: 0.50 кг.
Дата издания: 07.05.2014
Серия: Series on concrete & applicable mathematics
Язык: English
Размер: 160 x 234 x 19
Читательская аудитория: College/higher education
Ключевые слова: Complex analysis, complex variables, MATHEMATICS / Applied,MATHEMATICS / Complex Analysis,MATHEMATICS / Differential Equations / Partial
Основная тема: Mathematics / Partial Differential Equations
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: This book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black-Merton-Scholes, Schr dinger and Korteweg-de Vries equations.The complexification of the spatial variable is done by two different methods. The first method is that of complexifying the spatial variable in the corresponding semigroups of operators. In this case, the solutions are studied within the context of the theory of semigroups of linear operators. It is also interesting to observe that these solutions preserve some geometric properties of the boundary function, like the univalence, starlikeness, convexity and spirallikeness. The second method is that of complexifying the spatial variable directly in the corresponding evolution equation from the real case. More precisely, the real spatial variable is replaced by a complex spatial variable in the corresponding evolution equation and then analytic and non-analytic solutions are sought.For the first time in the book literature, we aim to give a comprehensive study of the most important evolution equations of real time variable and complex spatial variables. In some cases, potential physical interpretations are presented. The generality of the methods used allows the study of evolution equations of spatial variables in general domains of the complex plane.


Differential Equations for Engineers

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 9504.00 р.
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Semigroup Methods for Evolution Equations on Networks

Автор: Delio Mugnolo
Название: Semigroup Methods for Evolution Equations on Networks
ISBN: 3319046209 ISBN-13(EAN): 9783319046204
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book provides a very concise introduction to evolution equations - i.e., of time-dependent differential equations, and a handbook on applications to differential equations on networks. Unlike many books it offers full proofs of mathematical statements.

Fractional Evolution Equations and Inclusions

Автор: Yong Zhou
Название: Fractional Evolution Equations and Inclusions
ISBN: 012804277X ISBN-13(EAN): 9780128042779
Издательство: Elsevier Science
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Цена: 11620.00 р.
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Описание:

Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development.

This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena.

The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians.

Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear.

Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces.

Women After All: Sex, Evolution, and the End of Male Supremacy

Автор: Konner Melvin
Название: Women After All: Sex, Evolution, and the End of Male Supremacy
ISBN: 0393352315 ISBN-13(EAN): 9780393352313
Издательство: Wiley
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Цена: 2058.00 р.
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Описание: A short, lively argument for the natural superiority of women.

Partially Integrable Evolution Equations in Physics

Автор: R. Conte; N. Boccara
Название: Partially Integrable Evolution Equations in Physics
ISBN: 9401067546 ISBN-13(EAN): 9789401067546
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute on Partially Integrable Nonlinear Evolution Equations and Their Physical Applications, Les Houches, France, March 21-30, 1989

Moving Interfaces and Quasilinear Parabolic Evolution Equations

Автор: Pr?ss
Название: Moving Interfaces and Quasilinear Parabolic Evolution Equations
ISBN: 3319276972 ISBN-13(EAN): 9783319276977
Издательство: Springer
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Цена: 18167.00 р.
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Описание: In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis.The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

Markov Processes, Feller Semigroups And Evolution Equations

Автор: Van Casteren Jan A
Название: Markov Processes, Feller Semigroups And Evolution Equations
ISBN: 9814322180 ISBN-13(EAN): 9789814322188
Издательство: World Scientific Publishing
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Цена: 41184.00 р.
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Описание: Provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. This book describes its generators and the link with stochastic differential equations in infinite dimensions.


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