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math.AP2011★ 6 cited
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…
math.AP2011
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…