Rodionov A.A., Khantuleva T.A.
Modern problems of science and engineering lead outside the scope of continuum mechanics. In order to solve the problems a new nonlocal hydrodynamics of nonequilibrium processes had been developed on the base of statistical mechanics using methods of nonlinear operator sets and adaptive control. The allowance for selforganization and selfregulation provides the mathematical model to be completed and results discrete structure spectra and structure transitions in a system. Application of the new approach to problems of flow and wave propagation in condensed media allows the description of the observed effects that have no explanation in the framework of the classical hydrodynamics.