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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 209, Number 3, Pages 397–413
DOI: https://doi.org/10.4213/tmf10178
(Mi tmf10178)
 

Navier–Stokes equations, the algebraic aspect

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
References:
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.
Received: 04.10.2021
Revised: 04.10.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 3, Pages 1657–1672
DOI: https://doi.org/10.1134/S0040577921120011
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Navier–Stokes equations, the algebraic aspect”, TMF, 209:3 (2021), 397–413; Theoret. and Math. Phys., 209:3 (2021), 1657–1672
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf10178
  • https://doi.org/10.4213/tmf10178
  • https://www.mathnet.ru/eng/tmf/v209/i3/p397
  • Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:352
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    References:51
    First page:27
     
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