12 citations · 16 across the 7 of their papers we have counts for
6 papers · 1 filter
Evolutionary forms: Conservation laws and causality
L. I. Petrova
Evolutionary forms are skew-symmetric differential forms the basis of which, as opposed to exterior forms, are deforming manifolds (with unclosed metric forms). Such differential f…
Qualitative investigation of Hamiltonian systems by application of skew-symmetric differential forms
L. I. Petrova
A great number of works is devoted to qualitative investigation of Hamiltonian systems. One of tools of such investigation is the method of skew-symmetric differential forms. In pr…
The effect of noncommutativity of the conservation laws on the development of thermodynamical and gas dynamical instability (The method of skew-symmetric differential forms)
L. I. Petrova
In the works by the author it has been shown that the conservation laws for material media (the conservation laws for energy, linear momentum, angular momentum, and mass, that esta…
Approaches to general field theory (The method of skew-symmetric differential forms)
L. I. Petrova
The basis for the field theory are properties of the closed exterior differential forms (skew-symmetric differential forms defined on manifolds with the closed metric forms), which…
Exterior and evolutionary skew-symmetric differential forms and their role in mathematical physics
L. I. Petrova
At present the theory of skew-symmetric exterior differential forms has been developed. The closed exterior forms possess the invariant properties that are of great importance. The…
Exterior Differential Forms in Field Theory
L. I. Petrova
A role of the exterior differential forms in field theory is connected with a fact that they reflect properties of the conservation laws. In field theory a role of the closed exter…