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

• Main Authors: Saichev, Alexander I. (Author, http://id.loc.gov/vocabulary/relators/aut), woyczyński, Wojbor A. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Applied and Numerical Harmonic Analysis,
• Subjects: Probabilities.; Engineering mathematics.; Functional analysis.; Statistics .; Probability Theory and Stochastic Processes.; Engineering Mathematics.; Functional Analysis.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.

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...

Table of Contents:

• 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.