Quotients of Navier--Stokes equation on space curves
Mathematical Physics
2021-06-01 v1 math.MP
Fluid Dynamics
Abstract
A Navier--Stokes system on a curve is discussed. The quotient equation for this system is found. The quotient is used to find some solutions of Navier--Stokes system. Using virial expansion of the Planck potential, we reduce the quotient equation to a series of systems of ordinary differential equations.
Keywords
Cite
@article{arxiv.2105.14999,
title = {Quotients of Navier--Stokes equation on space curves},
author = {Anna Duyunova and Valentin Lychagin and Sergey Tychkov},
journal= {arXiv preprint arXiv:2105.14999},
year = {2021}
}