Differential invariants for plane flows of viscid fluids

DOI10.1134/S1995080217040084zbMath1373.37184OpenAlexW3012736220MaRDI QIDQ2404804

Sergey Tychkov, A. A. Duyunova, Valentin V. Lychagin

Publication date: 20 September 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217040084

zbMATH Keywords

Navier-Stokes equationdifferential invariantthermodynamical state

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items

Differential Invariants for Flows of Fluids and Gases, Differential invariants for spherical layer flows of viscid fluids, Differential invariants for plane flows of viscid fluids, Differential invariants for spherical flows of a viscid fluid, Differential invariants for spherical flows of inviscid fluid

Uses Software

• DifferentialGeometry

Cites Work

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• Global Lie-Tresse theorem
• Mayer brackets and solvability of PDEs. I
• Differential invariants for plane flows of viscid fluids