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Titlebook: Distributions in the Physical and Engineering Sciences, Volume 3; Random and Anomalous Alexander I. Saichev,Wojbor A. woyczyński Textbook 2

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發(fā)表于 2025-3-21 17:44:35 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Distributions in the Physical and Engineering Sciences, Volume 3
副標(biāo)題Random and Anomalous
編輯Alexander I. Saichev,Wojbor A. woyczyński
視頻videohttp://file.papertrans.cn/283/282023/282023.mp4
概述Illustrates how the theory of distributions can be applied to solve problems in the physical and engineering sciences.Includes a robust selection of example problems that can arise in real-life indust
叢書名稱Applied and Numerical Harmonic Analysis
圖書封面Titlebook: Distributions in the Physical and Engineering Sciences, Volume 3; Random and Anomalous Alexander I. Saichev,Wojbor A. woyczyński Textbook 2
描述Continuing the authors’ multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences.? .Volume 1. covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and .Volume 2. explored linear and nonlinear dynamics in continuous media.? With this volume, the scope is extended to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics.??.Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media.? The needs of the applied-sciences audience are addressed by a careful and rich selection of examples arising in real-life industrial and scientific labs and a thorough discussion of their phys
出版日期Textbook 2018
關(guān)鍵詞Theory of Distributions; Anomalous fractional random dynamics; Generalized stochastic processes and fi
版次1
doihttps://doi.org/10.1007/978-3-319-92586-8
isbn_softcover978-3-030-06467-9
isbn_ebook978-3-319-92586-8Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:03:30 | 只看該作者
板凳
發(fā)表于 2025-3-22 03:34:08 | 只看該作者
Textbook 2018a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences.? .Volume 1. covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and .Volume 2. explored linear and nonlinear dynamic
地板
發(fā)表于 2025-3-22 05:13:18 | 只看該作者
Anwendung des , auf technische Systeme, also explain how the theory can be developed via sequential approximations by regular random functions, the approach which may be more appealing to the practitioners in the physical and engineering sciences.
5#
發(fā)表于 2025-3-22 09:18:48 | 只看該作者
,Die Repr?sentation der Indizes,n the following chapters. We will also take a look at the appearance of certain singularities in the dynamics of individual realizations, accompanied by their absence in the statistical description; the phase fluctuations of plane waves in a randomly layered medium provide an example of such behavior.
6#
發(fā)表于 2025-3-22 16:50:04 | 只看該作者
Random Distributions: Generalized Stochastic Processes also explain how the theory can be developed via sequential approximations by regular random functions, the approach which may be more appealing to the practitioners in the physical and engineering sciences.
7#
發(fā)表于 2025-3-22 19:32:32 | 只看該作者
Dynamical and Statistical Characteristics of Random Fields and Wavesn the following chapters. We will also take a look at the appearance of certain singularities in the dynamics of individual realizations, accompanied by their absence in the statistical description; the phase fluctuations of plane waves in a randomly layered medium provide an example of such behavior.
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發(fā)表于 2025-3-22 23:48:43 | 只看該作者
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發(fā)表于 2025-3-23 02:50:59 | 只看該作者
,Frontlinien: Erl?uterungen und Kommentare,f this monograph series, can be seen as a “toy model” of real turbulence problems described by the Navier–Stokes equation. The material is based on a series of authors’ articles [1–5]. Also, the second-named author’s book . addresses the general problems in this area mostly in the classical context.
10#
發(fā)表于 2025-3-23 09:10:40 | 只看該作者
?Frieden“. überlegungen zur Theoriebildungic model of Burgers turbulence. The full program of such investigation should include prior recovery of the statistical properties of the velocity field . satisfying fully nonlinear equations of the hydrodynamic type such as the Navier–Stokes equation for an incompressible fluid, which however, is beyond the scope of this book.
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