S. Ershkov

发表

Two Applications of Riccati ODE in Nonlinear Physics and Their Computer Algebra Solutions

V. Christianto, S. Ershkov, 2017 .

Revisiting Glacier Dynamics for Stationary Approximation of Plane-Parallel Creeping Flow

S. Ershkov, D. Leshchenko, 2021, Mathematical Modelling of Engineering Problems.

Towards understanding the algorithms for solving the Navier–Stokes equations

N. V. Burmasheva, V. Christianto, S. Ershkov, 2021, Fluid Dynamics Research.

Solving Numerically a System of Coupled Riccati ODEs for Incompressible Non-Stationary 3D Navier-Stokes Equations

V. Christianto, S. Ershkov, 2017 .

Revisiting the dynamics of finite-sized satellite near the planet in ER3BP

S. Ershkov, D. Leshchenko, A. Rachinskaya, 2022, Archive of Applied Mechanics.

Exact solution of Schroedinger equation in the case of reduction to Riccati type of ODE

S. Ershkov, 2011, 1101.3075.

Note on semi‐analytical nonstationary solution for the rivulet flows of non‐Newtonian fluids

S. Ershkov, D. Leshchenko, 2022, Mathematical Methods in the Applied Sciences.

Exact Solution of 2D Plane-Parallel Flow for Glacier Dynamics

S. Ershkov, 2011 .

YARKOVSKY EFFECT IN MODIFIED PHOTOGRAVITATIONAL 3-BODIES PROBLEM

S. Ershkov, 2012 .

The Dynamics of Average Temperature of Earth's Surface and Thermo-Balance of Heat Fluxes Suggest a Quasi-Periodicity

S. Ershkov, 2015 .

The average temperature of Earth's surface and thermo-balance of heat fluxes suggest internal heat generation via Kuroda’s Oklo-type natural nuclear reactor

S. Ershkov, 2015 .

The average temperature of Earth's surface and thermo-balance of heat fluxes suggest internal heat generation via Greenhouse effect

S. Ershkov, 2015 .

About influence of differential rotation in convection zone of gaseous or fluid giant planet (Uranus) onto the parameters of orbits of satellites

Elbaz I. Abouelmagd, S. Ershkov, D. Leshchenko, 2017, The European Physical Journal Plus.

Perturbation of relativistic effect in the dynamics of test particle

Elbaz I. Abouelmagd, S. Ershkov, A. Rachinskaya, 2023, Journal of Mathematical Analysis and Applications.

A new approximation of mean-time trends for the second wave of COVID-19 pandemic evolving in key six countries

S. Ershkov, A. Rachinskaya, 2021, Nonlinear Dynamics.

On a new type of solving procedure for Euler–Poisson equations (rigid body rotation over the fixed point)

S. Ershkov, D. Leshchenko, 2018, Acta Mechanica.

A Riccati-type solution of Euler-Poisson equations of rigid body rotation over the fixed point

S. Ershkov, 2017 .

A Riccati-type solution of 3D Euler equations for incompressible flow

S. Ershkov, R. Shamin, 2018, Journal of King Saud University - Science.

On a new type of non-stationary helical flows for incompressible 3D Navier-Stokes equations

A. Giniyatullin, S. Ershkov, R. Shamin, 2018 .

About existence of stationary points for the Arnold-Beltrami-Childress (ABC) flow

Sergey V. Ershkov, S. Ershkov, 2015, Appl. Math. Comput..

Non-stationary helical flows for incompressible 3D Navier-Stokes equations

Sergey V. Ershkov, S. Ershkov, 2015, Appl. Math. Comput..

Quasi-periodic non-stationary solutions of 3D Euler equations for incompressible flow

S. Ershkov, 2015, 1505.08137.

About existence of the general solution of Navier-Stokes equations for 3D non-stationary incompressible flow

S. Ershkov, 2014, 1502.01206.

The Reverse Side of Helmholtz Paradox: Flow with Zero Laplacian Generates a Constant Vortex

S. Ershkov, 2013 .

A novel type of ER3BP introducing Milankovitch cycles or seasonal irradiation processes influencing onto orbit of planet

S. Ershkov, D. Leshchenko, E. Prosviryakov, 2022, Archive of Applied Mechanics.

Correction: A novel type of ER3BP introducing Milankovitch cycles or seasonal irradiation processes influencing onto orbit of planet

S. Ershkov, D. Leshchenko, E. Prosviryakov, 2022, Archive of applied mechanics (1991).

A novel type of ER3BP introduced for hierarchical configuration with variable angular momentum of secondary planet

Elbaz I. Abouelmagd, S. Ershkov, A. Rachinskaya, 2021, Archive of Applied Mechanics.

On the Motion of Small Satellite near the Planet in ER3BP

S. Ershkov, D. Leshchenko, A. Rachinskaya, 2021 .

On the Motion of Small Satellite near the Planet in ER3BP

S. Ershkov, D. Leshchenko, A. Rachinskaya, 2021, The Journal of the astronautical sciences.

Sitnikov-type solution for the motion of infinitesimal mass in BiER4BP

S. Ershkov, A. Rachinskaya, 2020, 2012.04501.

Semi-analytical solution for the trapped orbits of satellite near the planet in ER3BP

S. Ershkov, A. Rachinskaya, 2020, Archive of Applied Mechanics.

Note on the trapped motion in ER3BP at the vicinity of barycenter

S. Ershkov, D. Leshchenko, A. Rachinskaya, 2020, Archive of Applied Mechanics.

Solving procedure for the motion of infinitesimal mass in BiER4BP

S. Ershkov, D. Leshchenko, A. Rachinskaya, 2020, The European Physical Journal Plus.

Quasi-periodic Solutions of a Spiral Type for Photogravitational Restricted Three-Body Problem

S. Ershkov, 2014 .

The Yarkovsky effect in generalized photogravitational 3-body problem

S. Ershkov, 2012, 1504.06181.

Quasi-Periodic Solution of a Spiral Type for Photogravitational Restricted 3-Bodies Problem

S. Ershkov, 2012 .

On the analytical solution in non-inertial frame of R2BP

S. Ershkov, D. Leshchenko, 2019, 1911.11013.

Forbidden Zones for Circular Regular Orbits of the Moons in Solar System, R3BP

S. Ershkov, 2017, 1705.09154.

Forbidden Zones for Circular Regular Orbits of the Moons in Solar System, R3BP

S. Ershkov, 2017, Journal of Astrophysics and Astronomy.

Stability of the Moons Orbits in Solar System in the Restricted Three-Body Problem

S. Ershkov, 2015, 1506.06632.

Stability of the Moons orbits in Solar system ( especially of Earth ’ s Moon ) in the restricted three-body problem ( R 3 BP , celestial mechanics )

S. Ershkov, 2015 .

The main paradox of KAM-theory, exact solution of Arnold-diffusion for restricted 3-bodies problem (a case of Archimedes spiral)

S. Ershkov, 2012 .

The main paradox of KAM-theory for restricted 3-bodies problem

S. Ershkov, 2012 .

Capture in Regime of a Trapped Motion with Further Inelastic Collision for Finite-Sized Asteroid in ER3BP

S. Ershkov, D. Leshchenko, A. Rachinskaya, 2022, Symmetry.

Quasi-periodic Solutions of a Spiral Type for Photogravitational Restricted Three-Body Problem

S. Ershkov, D. Leshchenko, 2014, 1503.08222.

Revisiting dynamics of Sun center relative to barycenter of Solar system or Can we move towards stars using Solar self-resulting photo-gravitational force?

S. Ershkov, D. Leshchenko, 2011, Journal of Space Safety Engineering.

On the dynamics OF NON-RIGID asteroid rotation

S. Ershkov, D. Leshchenko, 2019, Acta Astronautica.

The dynamics of asteroid rotation, governed by YORP effect: The kinematic ansatz

S. Ershkov, R. Shamin, 2018, Acta Astronautica.

The Main Paradox of Kam-Theory for Restricted Three-Body Problem (R3BP, Celestial Mechanics)

S. Ershkov, 2012 .

Revisiting Long-Time Dynamics of Earth’s Angular Rotation Depending on Quasiperiodic Solar Activity

S. Ershkov, D. Leshchenko, E. Prosviryakov, 2023, Mathematics.

Estimation of the size of the solar system and its spatial dynamics using Sundman inequality

S. Ershkov, D. Leshchenko, 2022, Pramana.

Semi-analytical findings for rotational trapped motion of satellite in the vicinity of collinear points {L1, L2} in planar ER3BP

S. Ershkov, D. Leshchenko, A. Rachinskaya, 2022, Archive of Applied Mechanics.

Analysis of the size of Solar system close to the state with zero total angular momentum via Sundman's inequality.

S. Ershkov, D. Leshchenko, 2021, Anais da Academia Brasileira de Ciencias.

On the stability of Laplace resonance for Galilean moons (Io, Europa, Ganymede).

S. Ershkov, D. Leshchenko, 2021, Anais da Academia Brasileira de Ciencias.

About Tidal Evolution of Quasi-Periodic Orbits of Satellites

S. Ershkov, 2017 .

Revolving scheme for solving a cascade of Abel equations in dynamics of planar satellite rotation

S. Ershkov, 2017, 1706.02990.

Marangoni-type of nonstationary rivulet-flows on inclined surface

S. Ershkov, D. Leshchenko, E. Prosviryakov, 2022, International Journal of Non-Linear Mechanics.

Corrigendum to “Marangoni-type of nonstationary rivulet-flows on inclined surface” [Int. J. Non-Linear Mech. 147C (2022) 104250]

S. Ershkov, D. Leshchenko, E. Prosviryakov, 2023, International Journal of Non-Linear Mechanics.

Non-stationary Riccati-type flows for incompressible 3D Navier-Stokes equations

Sergey V. Ershkov, S. Ershkov, 2015, Comput. Math. Appl..

A procedure for the construction of non-stationary Riccati-type flows for incompressible 3D Navier–Stokes equations

S. Ershkov, 2015, 1509.06592.

Inelastic Collision Influencing the Rotational Dynamics of a Non-Rigid Asteroid (of Rubble Pile Type)

S. Ershkov, D. Leshchenko, 2023, Mathematics.

Semi-analytical solving procedure for the dynamics of charged particle in parametrically variable magnetic field

S. Ershkov, V. Christianto, 2022, The European Physical Journal Plus.

On the Semi-Analytical Solutions in Hydrodynamics of Ideal Fluid Flows Governed by Large-Scale Coherent Structures of Spiral-Type

Sergey V. Ershkov, Alla Rachinskaya, Evgenii Yu. Prosviryakov, 2021, Symmetry.

Solving procedure for the Kelvin–Kirchhoff equations in case of buoyant (or the falling) ellipsoid of rotation

A. Giniyatullin, S. Ershkov, D. Leshchenko, 2020 .

About analytical ansatz to the solving procedure for Kelvin–Kirchhoff equations

V. Christianto, A. Giniyatullin, S. Ershkov, 2020 .

Notes on approaches for solving the Euler-Poisson equations.

S. Ershkov, D. Leshchenko, 2011, 1101.1670.

On a new type of solving procedure for Euler–Poisson equations (rigid body rotation over the fixed point)

S. Ershkov, D. Leshchenko, 2018, Acta Mechanica.

On a new type of solving procedure for Laplace tidal equation

S. Ershkov, R. Shamin, 2018, Physics of Fluids.

Dynamics of Boundary Layer Separating from Surface to the Outer Flow

S. Ershkov, 2018 .

A Riccati-type solution of Euler-Poisson equations of rigid body rotation over the fixed point

S. Ershkov, 2017, Acta Mechanica.

Non-stationary creeping flows for incompressible 3D Navier–Stokes equations

S. Ershkov, 2017 .

Exact solution of Helmholtz equation for the case of non-paraxial Gaussian beams

S. Ershkov, 2013, 1502.05317.

Self-similar solutions to the complete system of Navier–Stokes equations for axially symmetric swirling flows of a viscous compressible gas

S. Ershkov, 2001 .

Note on the stability criteria for a new type of helical flows.

S. Ershkov, 2018, 1807.03242.

On the invariant motions of rigid body rotation over the fixed point, via Euler’s angles

S. Ershkov, 2015, 1601.04526.

New exact solution of Euler’s equations (rigid body dynamics) in the case of rotation over the fixed point

Sergey V. Ershkov, S. Ershkov, 2014 .

Solving procedure for the Kelvin–Kirchhoff equations in case of non-stationary rotations of slim disc

A. Giniyatullin, S. Ershkov, D. Leshchenko, 2021, Archive of Applied Mechanics.

Correction to: Solving procedure for the Kelvin–Kirchhoff equations in case of non-stationary rotations of slim disc

A. Giniyatullin, S. Ershkov, D. Leshchenko, 2021, Archive of Applied Mechanics.

A New Solving Procedure for the Kelvin-Kirchhoff Equations in Case of a Falling Rotating Torus

Sergey V. Ershkov, Dmytro Leshchenko, Ayrat R. Giniyatullin, 2021, Int. J. Bifurc. Chaos.

Solving procedure for the dynamics of charged particle in variable (time-dependent) electromagnetic field

S. Ershkov, D. Leshchenko, 2020, Zeitschrift für angewandte Mathematik und Physik.

QUASI-PERIODIC SOLUTIONS OF EINSTEIN-FRIEDMAN EQUATIONS

S. Ershkov, 2010 .

Exact Solution of Viscous-Plastic Flow Equations for Glacier Dynamics in 2-Dimensional Case.

S. Ershkov, 2011 .

Estimation of the required height of seawall for protection from Tsunami

S. Ershkov, 2011 .

Estimation of average temperature of Earth ' s surface : mathematical model of thermo-balance of Earth ’ s heat fluxes

S. Ershkov, 2015 .

Estimation of mean-values of Earth ' s surface temperature : Mathematical robust model of thermo-balance of Earth ’ s heat fluxes

S. Ershkov, 2015 .

Evolution of motion of a rigid body similar to Lagrange top under the influence of slowly time varying torques

S. Ershkov, D. Leshchenko, T. Kozachenko, 2022, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science.

Evolution of a heavy rigid body rotation under the action of unsteady restoring and perturbation torques

S. Ershkov, D. Leshchenko, T. Kozachenko, 2021, Nonlinear Dynamics.

A procedure for the construction of non-stationary Riccati-type flows for incompressible 3D Navier–Stokes equations

S. Ershkov, 2016, Rendiconti del Circolo Matematico di Palermo (1952 -).

Finite-Sized Orbiter’s Motion around the Natural Moons of Planets with Slow-Variable Eccentricity of Their Orbit in ER3BP

Elbaz I. Abouelmagd, S. Ershkov, D. Leshchenko, 2023, Mathematics.

Semi-Analytical Approach in BiER4BP for Exploring the Stable Positioning of the Elements of a Dyson Sphere

S. Ershkov, D. Leshchenko, E. Prosviryakov, 2023, Symmetry.

Magneto-Vortex Dynamo Model in Solar convection zone

S. Ershkov, 2011 .

Logistic equation of Human population growth (generalization to the case of reactive environment)

S. Ershkov, 2011 .

A NONLINEAR HEURISTIC MODEL FOR ESTIMATION OF COVID-19 IMPACT TO WORLD POPULATION

Victor Christianto, Sergey V. Ershkov, A. L. Rachinskaya, 2020 .

About Tidal Evolution of Quasi-Periodic Orbits of Satellites

S. Ershkov, 2017, Earth, Moon, and Planets.