12 citations · 39 across the 25 of their papers we have counts for
25 papers
Internal connection between the field theory equations. Fundamentals of the field theory
L. I. Petrova
It is shown that there is a correspondence between field theory equations such as the Dirac, Shrődinger, Maxwell, Einstein equations and closed exterior forms of a certain degree.…
Hidden unique possibilities of mathematical physics equations (Formalism of skew-symmetric forms)
L. I. Petrova
It is shown that mathematical physics differential equations have properties that allow describing processes such as the structures emergence, discrete transitions, quantum jumps.…
Role of skew-symmetric differential forms in mathematics
L. I. Petrova
Skew-symmetric forms possess unique capabilities. The properties of closed exterior and dual forms, namely, invariance, covariance, conjugacy and duality, either explicitly or impl…
The noncommutativity of the conservation laws: Mechanism of origination of vorticity and turbulence
L. I. Petrova
From the equations of conservation laws for energy, linear momentum, angular momentum and mass the evolutionary relation in differential forms follows. This relation connects the d…
Skew-symmetric forms: On integrability of equations of mathematical physics
L. I. Petrova
The study of integrability of the mathematical physics equations showed that the differential equations describing real processes are not integrable without additional conditions.…
Skew-symmetric differential forms. Invariants. Realization of invariant structures
L. I. Petrova
Skew-symmetric differential forms play an unique role in mathematics and mathematical physics. This relates to the fact that closed exterior skew-symmetric differential forms are i…