40 citations · 445 across the 29 of their papers we have counts for
9 papers · 1 filter
On the invariant motions of rigid body rotation over the fixed point, via Euler angles
Sergey V. Ershkov
The generalized Euler case (rigid body rotation over the fixed point) is discussed here: - the center of masses of non-symmetric rigid body is assumed to be located at the equatori…
About existence of stationary points for the Arnold-Beltrami-Childress (ABC) flow
Sergey V. Ershkov
The existence of stationary points for the dynamical system of ABC-flow is considered. The ABC-flow, a three-parameter velocity field that provides a simple stationary solution of…
A procedure for the construction of non-stationary Riccati-type flows for incompressible 3D Navier-Stokes equations
Sergey V. Ershkov
In fluid mechanics, a lot of authors have been executing their researches to obtain the analytical solutions of Navier-Stokes equations, even for 3D case of compressible gas flow o…
Dynamics of a small planetoid in Newtonian gravity field of Lagrangian configuration of three primaries
Sergey V. Ershkov, Dmytro Leshchenko, Alla Rachinskaya
Novel method for semi-analytical solving of equations of a trapped dynamics for a planetoid m4 close to the plane of mutual motion of main bodies around each other (in case of a sp…
Quasi-periodic non-stationary solutions of 3D Euler equations for incompressible flow
Sergey V. Ershkov
A novel derivation of non-stationary solutions of 3D Euler equations for incompressible inviscid flow is considered here. Such a solution is the product of 2 separated parts: - one…
Yarkovsky effect in Generalized Photogravitational 3-Bodies Problem
Sergey V. Ershkov
Here is presented a generalization of photogravitational restricted 3-bodies problem to the case of influence of Yarkovsky effect, which is known as reason of additional infinitesi…
Revisiting Apophis 2029 approach to Earth (staying on shoulders of NASA experts) or Can we be sure in almost ricocheting fly-by of Apophis on 13 of April 2029 near the Earth?
Sergey Ershkov, Dmytro Leshchenko
The main idea of this challenging research is to revisit the solar-centric dynamics of Earth around the Sun in analysis of its position on 13 April 2029 close to asteroid Apophis w…
Exact solution of Helmholtz equation for the case of non-paraxial Gaussian beams
Sergey V. Ershkov
A new type of exact solutions of the full 3 dimensional spatial Helmholtz equation for the case of non-paraxial Gaussian beams is presented here. We consider appropriate representa…
On existence of general solution of the Navier-Stokes equations for 3D non-stationary incompressible flow
Sergey V. Ershkov
A new presentation of general solution of Navier-Stokes equations is considered here. We consider equations of motion for 3-dimensional non-stationary incompressible flow. The fiel…