Symmetry classification of viscid flows on space curves

@article{Duyunova2020SymmetryCO,
  title={Symmetry classification of viscid flows on space curves},
  author={Anna Duyunova and Valentin V. Lychagin and Sergey Tychkov},
  journal={arXiv: Mathematical Physics},
  year={2020}
}

Figures from this paper

Quotient of the Euler system on one class of curves

References

SHOWING 1-8 OF 8 REFERENCES
Symmetries and Differential Invariants for Inviscid Flows on a Curve
Symmetries and the corresponding fields of differential invariants of the inviscid flows on a curve are given. Their dependence on thermodynamic states of media is studied, and a classification of
Differential Invariants for Flows of Fluids and Gases
The paper is an extended overview of the papers. The main extension is a detailed analysis of thermodynamic states, symmetries, and differential invariants. This analysis is based on consideration of
Continuum mechanics of media with inner structures
Global Lie–Tresse theorem
We prove a global algebraic version of the Lie–Tresse theorem which states that the algebra of differential invariants of an algebraic pseudogroup action on a differential equation is generated by a
An Introduction to Fluid Dynamics
Keywords: dynamique des : fluides Reference Record created on 2005-11-18, modified on 2016-08-08
Contact Geometry, Measurement, and Thermodynamics
  • V. Lychagin
  • Education
    Nonlinear PDEs, Their Geometry, and Applications
  • 2019
This paper has a long story and goes back to the middle of 80s but its recent version is based on the series of lectures I gave during the Summer school Wisla 18.
Contact Geometry, Measurement and Thermodynamics, in: Nonlinear PDEs, Their Geometry and Applications
  • Proceedings of the Wisla 18 Summer School, Springer Nature, Switzerland,
  • 2019
The Differential Geometry Package (2016)
  • Downloads. Paper 4. http://digitalcommons.usu.edu/dg
  • 2016