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TMF, 2021, Volume 209, Number 3, Pages 397–413 (Mi tmf10178)  

Navier–Stokes equations, the algebraic aspect

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We present an analysis of the Navier–Stokes equations in the framework of an algebraic approach to systems of partial differential equations (the formal theory of differential equations).

Keywords: Navier–Stokes equations, integrability condition, evolution, constraints, differential algebra, symmetries, cohomology.

DOI: https://doi.org/10.4213/tmf10178

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English version:
DOI: https://doi.org/10.1134/S0040577921120011

Received: 04.10.2021
Revised: 04.10.2021

Citation: V. V. Zharinov, “Navier–Stokes equations, the algebraic aspect”, TMF, 209:3 (2021), 397–413

Citation in format AMSBIB
\Bibitem{Zha21}
\by V.~V.~Zharinov
\paper Navier--Stokes equations, the~algebraic aspect
\jour TMF
\yr 2021
\vol 209
\issue 3
\pages 397--413
\mathnet{http://mi.mathnet.ru/tmf10178}
\crossref{https://doi.org/10.4213/tmf10178}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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