output
19982026
most citedChaplygin ball over a fixed sphere: explicit integration

59 citations

45 papers

physics.flu-dyn2026

Interplay between Temperature Oscillations and Melt Pool Dynamics in 3D Manufacturing Techniques

Stepan L. Lomaev, Georgii A. Gordeev, Marat A. Timirgazin +2

The aim of this paper is coupling of temperature oscillations and melt pool dynamics experimentally observed in laser melting. The literature survey has shown that the developed ex…

math.DS2025

Dynamics of spinning test bodies in the Schwarzschild space-time: reduction and circular orbits

Ivan Bizyaev

This paper investigates the motion of a rotating test body in the Schwarzschild space-time. Previously, it was shown that this problem reduces to investigating a two-dimensional Po…

math.DS2025

Trajectories of light beams in a Kerr metric: the influence of the rotation of an observer on the shadow of a black hole

Ivan Bizyaev

This paper investigates the trajectories of light beams in a Kerr metric, which describes the gravitational field in the neighborhood of a rotating black hole. After reduction by c…

math.DS2024★ 3 cited

Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric

Ivan Bizyaev

This paper investigates the trajectories of neutral particles in the Schwarzschild-Melvin spacetime. After reduction by cyclic coordinates this problem reduces to investigating a t…

math.DS2024★ 3 cited

Bifurcation analysis of the problem of a "rubber" ellipsoid of revolution rolling on a plane

Alexander Kilin, Elena Pivovarova

This paper is concerned with the problem of an ellipsoid of revolution rolling on a horizontal plane under the assumption that there is no slipping at the point of contact and no s…

math.DS2024★ 5 cited

Dynamics of a multilink wheeled vehicle: partial solutions and unbounded speedup

Elizaveta Artemova, Ivan Bizyaev

A mathematical model featuring the motion of a multilink wheeled vehicle is developed using a nonholonomic model. A detailed analysis of the inertial motion is made. Fixed points o…