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Distributions in the Physical and Engineering Sciences, Volume 3
Random and Anomalous Fractional Dynamics in Continuous Media
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783319925868
Veröffentl:
2018
Seiten:
403
Autor:
Alexander I. Saichev
Serie:
Applied and Numerical Harmonic Analysis
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
Introduction to Volume 3.- Notation.- Basic Distributional Tools for Probability Theory.- Random Distributions: Generalized Stochastic Processes.- Dynamical and Statistical Characteristics of Random Fields and Waves.- Forced Burgers Turbulence and Passive Tracer Transport in Burgers Flows.- Probability Distributions of Passive Tracers in Randomly Moving Media.- Levy Processes and Their Generalized Derivatives.- Linear Anomalous Fractional Dynamics in Continuous Media.- Nonlinear and Multiscale Anomalous Fractional Dynamics in Continuous Media.- Appendix A: Basic Facts About Distributions.- Bibliography.- Index.
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