Stochastic equations: theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics. Volume 2. Coherent phenomena in stochastic dynamic systems. Translated from the Russian by A. Vinogradov
In the present second volume, the methods developed in the first volume are used in the theory of coherent phenomena occurring in stochastic dynamic systems with probability one, that is, clustering of particles and passive scalar tracer field (density field) in a random velocity field, passive vector tracer field (magnetic field) in a random velocity field, dynamic localization of plane waves in layered random media, propagation of monochromatic waves in random media, and formation of caustic structures in different-nature wavefields propagating in multidimensional random media (under the assumption that wave propagation is described in terms of a scalar parabolic equation). In the preface to this volume, the author says: ``It would be physically impossible to give an exhaustive bibliography'' -- and he refers nearly only to his own papers, in both volumes. They were cited in the past, but his recent books are not cited. Probably the reason is the style: no generally accepted terms and forms of presentation for stochastic differential equations for Markov processes are applied; instead of referring to well-known books with a description of Wiener processes, the author gives it in a nonstandard way [Vol. 1, p.\,10] and does not refer at all to mathematical textbooks or monographs with finely described models and conceptions of stochastic differential equations. For a review of the first volume, see [Zbl 1333.60006].
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