7 citations · 13 across the 6 of their papers we have counts for
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Existence, uniqueness and smoothness of a solution for 3D Navier-Stokes equations with any smooth initial velocity. A priori estimate of this solution
A. Tsionskiy, M. Tsionskiy
Solutions of the Navier-Stokes and Euler equations with initial conditions for 2D and 3D cases were obtained in the form of converging series, by an analytical iterative method usi…
An effective approach to the solution of a system of nonlinear differential equations in partial derivatives
A. Tsionskiy, M. Tsionskiy
There are few approaches to the solution of a system of nonlinear differential equations in partial derivatives, for example $\cite{NK87} - \cite{EK98}$. In our paper we propose an…
Research of convergence of the iterative method for solution of the Cauchy problem for the Navier - Stokes equations based on estimated formula
A. Tsionskiy, M. Tsionskiy
Solution of the Navier-Stokes equations with initial conditions (Cauchy problem) for 2D and 3D cases was obtained in the convergence series form by iterative method using Fourier a…
The Cauchy problem for the 3D Navier - Stokes equations. New approach to the solution and its justification
A. Tsionskiy, M. Tsionskiy
Some known results regarding the Euler and Navier-Stokes equations were obtained by different authors. Existence and smoothness of solutions for the Navier-Stokes equations in two…
Solution of the Cauchy problem for the Navier - Stokes and Euler equations
A. Tsionskiy, M. Tsionskiy
Some known results regarding the Euler and Navier-Stokes equations were obtained by different authors. Existence and smoothness of the Navier-Stokes solutions in two dimensions hav…