6 citations · 10 across the 8 of their papers we have counts for
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Non-optimality of conical parts for Newton's problem of minimal resistance in the class of convex bodies and the limiting case of infinite height
Lev Lokutsievskiy, Gerd Wachsmuth, Mikhail Zelikin
We consider Newton's problem of minimal resistance, in particular we address the problem arising in the limit if the height goes to infinity. We establish existence of solutions an…
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…
Hessian measures in the aerodynamic Newton problem
L. V. Lokutsievskiy, M. I. Zelikin
Simple natural proofs of all known results regarding the aerodynamic Newton problem are obtained. Additional new theorems and new promising formulas in terms of Hessian measures ar…
Field Theory for Multiple Integrals
M. Zelikin
New constructions in the theory of fields for multiple integrals are designed. Generalizations of the Legendre - Weyl - Caratheodory transforms and corresponding invariant integral…