Differential Invariants for Flows of Fluids and Gases

DOI10.1007/978-3-030-63253-3_6zbMath1503.35129arXiv2004.01567OpenAlexW3014274636MaRDI QIDQ5048603

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

Publication date: 16 November 2022

Published in: Differential Geometry, Differential Equations, and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01567

zbMATH Keywords

fluids and gases

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Classical and relativistic thermodynamics (80A10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Differential invariants (local theory), geometric objects (53A55) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Euler equations (35Q31)

Related Items (2)

Differential invariants of inviscid flows in pipes ⋮ Quotient of the Euler system on one class of curves

Uses Software

• DifferentialGeometry

Cites Work

• Unnamed Item
• Global Lie-Tresse theorem
• Mayer brackets and solvability of PDEs. I
• Differential invariants for spherical layer flows of viscid fluids
• Differential invariants for spherical flows of a viscid fluid
• Differential invariants for plane flows of inviscid fluids
• Differential invariants for spherical flows of inviscid fluid
• Differential invariants for spherical layer flows of inviscid fluids
• Differential invariants for plane flows of viscid fluids
• Differential invariants for flows of viscid fluids
• Contact geometry and thermodynamics

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