Distributions in the physical and engineering sciences, Volume 3, Random and anomalous fractional dynamics in continuous media

Resource Information

The work Distributions in the physical and engineering sciences, Volume 3, Random and anomalous fractional dynamics in continuous media represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.

Label

Distributions in the physical and engineering sciences, Volume 3, Random and anomalous fractional dynamics in continuous media

Title number

Volume 3

Title part

Random and anomalous fractional dynamics in continuous media

Statement of responsibility

Alexander I. Saichev, Wojbor A. Woyczyński

Title variation

Random and anomalous fractional dynamics in continuous media

Creator

• Saichev, A. I
• Saichev, A. I

Contributor

• Woyczyński, W. A., (Wojbor Andrzej), 1943-
• Woyczyński, W. A., (Wojbor Andrzej), 1943-

Author

• Woyczyński, W. A., (Wojbor Andrzej), 1943-
• Saichev, A. I
• Saichev, A. I
• Woyczyński, W. A., (Wojbor Andrzej), 1943-

Subject

• Theory of distributions (Functional analysis)

Language

eng

Summary

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 physical significance. Numerous illustrations generate a better understanding of the core concepts discussed in the text, and a large number of exercises at the end of each chapter expand on these concepts. Distributions in the Physical and Engineering Sciences is intended to fill a gap in the typical undergraduate engineering/physical sciences curricula, and as such it will be a valuable resource for researchers and graduate students working in these areas. The only prerequisites are a three-four semester calculus sequence (including ordinary differential equations, Fourier series, complex variables, and linear algebra), and some probability theory, but basic definitions and facts are covered as needed. An appendix also provides background material concerning the Dirac-delta and other distributions.--

Member of

• Applied and numerical harmonic analysis,
• Online access with purchase: Springer

Assigning source

Provided by publisher

Cataloging source

GW5XE

Dewey number

515/.782

Illustrations

illustrations

Index

index present

LC call number

QA324

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Applied and numerical harmonic analysis,