Distributions in the Physical and Engineering Sciences, Volume 3 Random and Anomalous Fractional Dynamics in Continuous Media /

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 founda...

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Hlavný autor: Saichev, Alexander I. (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydavateľské údaje: Cham : Springer International Publishing, 2018.
Vydanie:1st ed. 2018.
Edícia:Applied and Numerical Harmonic Analysis,
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ISBN:9783319925868
ISSN:2296-5009
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Obsah:
  • 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.