Quotients of Navier--Stokes equation on space curves

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 equat...

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Bibliographic Details
Published in:arXiv.org 2021-05
Main Authors: Duyunova, Anna, Lychagin, Valentin, Tychkov, Sergey
Format: Article
Language:English
Subjects:
Differential equations
Fluid dynamics
Fluid flow
Navier-Stokes equations
Ordinary differential equations
Quotients
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Summary: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.
ISSN:2331-8422