Mathematical Physics


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

Authors: Victor Christianto, Sergey Ershkov

In a recent paper, Ershkov derived a system of two coupled Riccati ODEs as solution of non-stationary incompressible 3D Navier-Stokes equations. Now in this paper, we solve these coupled Riccati ODEs using: a) Maxima and b) Mathematica 11 computer algebra packages. The result seems to deserve further investigation in particular in comparison with rigid body motion, which will be discussed elsewhere.

Comments: 11 Pages. This paper is to be submitted to Royal Society Open Access journal. Your comments are welcome.

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Submission history

[v1] 2017-05-03 09:46:41
[v2] 2017-05-04 02:31:50

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