Author(s)

L. I. Petrova

Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia.

As it is known, the closed inexact exterior form and associated closed dual form make up a differential-geometrical structure. Such a differential-geometrical structure describes a physical structure, namely, a pseudostructure on which conservation laws are fulfilled (A closed dual form describes a pseudostructure. And a closed exterior form, as it is known, describes a conservative quantity, since the differential of closed form is equal to zero). It has been shown that closed inexact exterior forms, which describe physical structures, are obtained from the equations of mathematical physics. This process proceeds spontaneously under realization of any degrees of freedom of the material medium described. Such a process describes an emergence of physical structures and this is accompanied by an appearance of observed formations such as fluctuations, waves, turbulent pulsations and so on.

Skew-Symmetric Form, Nonidentical Relation, Degenerate Transformation, the Transition from the Nonintegrable Manifolds to the Integrable Structures

Petrova, L. (2016) Spontaneous Emergence of Physical Structures and Observable Formations: Fluctuations, Waves, Turbulent Pulsations and So on. Journal of Applied Mathematics and Physics, 4, 863-870. doi: 10.4236/jamp.2016.45094.