## 16 Citations

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

- Mathematics
- 2018

### Towards understanding the algorithms for solving the Navier–Stokes equations

- MathematicsFluid Dynamics Research
- 2021

In this paper, we present a review of featured works in the field of hydrodynamics with the main aim to clarify the ways of understanding the algorithms for solving the Navier–Stokes equations.…

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

- Mathematics
- 2019

In this paper, we proceed exploring the case of non-stationary helical flows of the Navier-Stokes equations for incompressible fluids with variable (spatially dependent) coefficient of…

### Notes on approaches for solving the Euler-Poisson equations.

- Mathematics
- 2019

In this paper, we proceed to develop a new approach which was formulated first in Ershkov (2017) for solving Poisson equations: a new type of the solving procedure for Euler-Poisson equations (rigid…

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

- MathematicsSymmetry
- 2021

We have presented here a clearly formulated algorithm or semi-analytical solving procedure for obtaining or tracing approximate hydrodynamical fields of flows (and thus, videlicet, their…

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

- EngineeringMathematical Methods in the Applied Sciences
- 2022

We have presented in this analytical research the revisiting of approach for mathematical modeling the rivulet flows on inclined surface in terms of viscous‐plastic theory of two‐dimensional…

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

- PhysicsInt. J. Bifurc. Chaos
- 2021

A new solving procedure for Kelvin– Kirchhoff equations, considering the dynamics of falling the rigid rotating torus in an ideal incompressible fluid, assuming additionally the dynamical symmetry of rotation for the rotating body, I 1 = I 2.

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

- PhysicsZeitschrift für angewandte Mathematik und Physik
- 2020

In this challenging analytic survey, we present a new approach for solving equations of the dynamics of a charged particle (describing its motion in variable, time-dependent electromagnetic field)…

### On a new type of solving procedure for Laplace tidal equation

- MathematicsPhysics of Fluids
- 2018

In this paper, we present a new approach for solving Laplace tidal equations (LTE) which was formulated first in [S.V.Ershkov, A Riccati-type solution of Euler-Poisson equations of rigid body…

## References

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- Mathematics
- 2015

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 or 3D case of…

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

- MathematicsComput. Math. Appl.
- 2016

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

- Mathematics
- 2015

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

- Mathematics
- 2014

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 equation of momentum…

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

- Mathematics
- 2017

A new approach is developed here for resolving the Poisson equations in case the components of angular velocity of rigid body rotation can be considered as functions of the time parameter t only. A…

### A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equations

- Mathematics, Physics
- 2002

### Generator of Solutions for 2D Navier-Stokes Equations

- Mathematics
- 2014

On the paper under consideration the investigation of Navier-Stokes equations for 2D viscous incompressible fluid flow is present. An analysis is based on the first integral of these equations. It is…

### Fluid Mechanics

- PhysicsNature
- 1980

Ludwig Krinner (Dated: November 5th 2012) Abstract This is a script made with the help of Landau Lifshitz, Book VI [1] on fluid mechanics, that gives a short introduction to basic fluid mechanics.…

### Quaternions and particle dynamics in the Euler fluid equations

- Environmental Science
- 2006

Vorticity dynamics of the three-dimensional incompressible Euler equations are cast into a quaternionic representation governed by the Lagrangian evolution of the tetrad consisting of the growth rate…

### Philip Drazin and Norman Riley: The Navier–Stokes equations : a classification of flows and exact solutions

- MathematicsTheoretical and Computational Fluid Dynamics
- 2011