Symmetries and differential invariants for inviscid flows on a curve

DOI10.1134/S1995080220120100zbMath1475.76071arXiv2004.11906OpenAlexW3128596833MaRDI QIDQ2225828

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

Publication date: 11 February 2021

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

Full work available at URL: https://arxiv.org/abs/2004.11906

zbMATH Keywords

Legendrianthree-dimensional Euclidean spaceoriented Riemannian manifoldsymmetry Lie algebraEuler invariantkinetic invariantthermodynamic state classification

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of differential geometry to physics (53Z05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

Symmetry classification of viscid flows on space curves ⋮ Quotients of Navier-Stokes equation on space curves ⋮ Quotient of the Euler system on one class of curves

Uses Software

• DifferentialGeometry

Cites Work

• Global Lie-Tresse theorem
• Mayer brackets and solvability of PDEs. I
• Differential invariants for flows of viscid fluids
• An Introduction to Fluid Dynamics

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