  The results by development of physical, mathematical and numerical models for
parametric excitation and suppression of oscillations on the interfaces
separating continuous media, for carrying out computing, physical and natural
experiments by revealing the new phenomena and parametric effects, and for
their use in improvement the existing and creation the perspective highly
efficient technological processes are presented. Scientific novelty of this
work consists in development of the theory and applications of parametric
excitation and suppression of oscillations on the boundaries of continua on the
samples of three tasks classes: flat and radial spreading film flows of viscous
incompressible liquids, conductive as well as non-conductive ones; surfaces of
phase transition from a liquid state into a solid one; and heterogeneous
granular media. The external actions considered are: alternating
electromagnetic, vibration, acoustic and thermal fields. Along with linear the
non-linear parametric oscillations are investigated (including strongly
non-linear) too and the results of theoretical studies are confirmed and
supplemented with the corresponding experimental data. The general and specific
peculiarities of parametrically excited oscillations and the new parametric
effects revealed are discussed for technical and technological applications.
First the general statement and substantiation of the problems studied is
considered, and then the various parametric oscillations in continua are
analyzed from common methodological base. Also the assessment of a current
state of the problems, analysis of their features, prospects of further
development and the main difficulties of the methodological, mathematical and
applied character are presented.
