4 papers
The analytical solution to Newton's aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary
L. V. Lokutsievskiy, M. I. Zelikin
The method of Hessian measures is used to find the differential equation that defines the optimal shape of nonrotationally symmetric bodies with minimal resistance moving in a rare…
The fractal theory of the Saturn Ring
Mikhail Zelikin
The true reason for partition of the Saturn ring as well as rings of other planets into great many of sub-rings is found. This reason is the theorem of Zelikin-Lokutsievskiy-Hildeb…
Quantized geodesic flow and superconductivity of plasma in fireballs
M. Zelikin
An explanation of stability of fireballs is proposed based on quantum effects in a thin surface layer of negatively charged plasma surrounding a positive kernel of a fireball. We c…
Geometry of cross ratio
M. I. Zelikin
Generalization of the cross ratio to polarizations of linear finite and infinite-dimensional spaces (in particular to Sato Grassmannian) is given and explored. This cross ratio app…