From An Exact Solution of 2D Navier-Stokes Equations to a Navier-Stokes Cosmology on Cantor Sets
| Main Author: | Victor Christianto |
|---|---|
| Format: | Article Journal |
| Terbitan: |
, 2014
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/32308 |
Daftar Isi:
- In a recent paper I derived an exact analytical solution of Riccati form of 2D Navier-Stokes equations with Mathematica. Now I will present a possible route from an exact analytical solution of the Navier-Stokes equations to Navier-Stokes Cosmology on Cantor Sets. The route is by showing that Raychaudhury equation leads to Friedmann equation when the vorticity vector, shear tensor and tidal force tensor vanish. Then I show how one can generalize it further to Navier-Stokes systems on Cantor Sets. While this paper contains nothing new except for pedagogical purpose, it may serve as an outline towards Navier-Stokes Cosmology on Cantor Sets.