3 citations · 3 across the 7 of their papers we have counts for
4 papers · 1 filter
Compendium of vector analysis with applications to continuum mechanics
V. P. Dmitriyev
1. Connection between integration and differentiation/ Gauss theorem. Coordinate-free definitions: gradient, divergence, curl. Stokes theorem. 2. Elements of continuum mechanics/ C…
Mechanical models of physical fields and particles
Valery P. Dmitriyev
Earlier obtained results on mechanical analogies of physical fields and particles are reviewed. The approach rests on the concept of the substratum - a mechanical medium, which occ…
Mechanical analogies for gravitation
Valery P. Dmitriyev
A quasielastic model of gravitation is developed. Gravitational field is modeled by the flow of the transient point dilatation, which is supposed to be continually emitted by a dis…
Mechanical analogies for the Lorentz gauge, particles and antiparticles
Valery P. Dmitriyev
An exact analogy of electromagnetic fields and particles can be found in mechanics of a turbulent ideal fluid with voids. The system is supposed to form a fine dispersion of voids…