Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1: Basic Concepts, Exact Results, and Asymptotic Approximations

by Valery I. Klyatskin

Overview

This monograph set presents a consistent and self-contained framework of shastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts, exact results, and asymptotic approximations of the theory of shastic equations on the basis of the developed functional approach. This approach offers a possibility of both obtaining exact solutions to shastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings. Ideas of statistical topography are used to discuss general issues of generating coherent structures from chaos with probability one, i.e., almost in every individual realization of random parameters. The general theory is illustrated with certain problems and applications of shastic mathematical physics in various fields such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics.

Product Details

ISBN-13:	9783319075860
Publisher:	Springer International Publishing
Publication date:	07/15/2014
Series:	Understanding Complex Systems
Edition description:	2015
Pages:	418
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Dynamical description of shastic systems.- Random quantities, processes, and fields.- Shastic equations.- Asymptotic methods for analyzing shastic equations.

Editorial Reviews

The book represents a comprehensive and very well-written study of shastic equations and their applications to acoustics, hydrodynamics, and other branches of physics. … The book may be recommended to all interested in the subject; it is really a pleasant read! The book may be also recommended as a textbook for graduate students in both shastic analysis and diverse areas of applied mathematics.” (B. Belinskiy, Mathematical Reviews, August, 2015)

From the Publisher