Appendices

    1. Duyunova A. Differential invariants of inviscid flow in pipes, submitted to Contemporary Mathematics, pipe.zip
    2. Lychagin V. Finite-dimensional Dynamics in Nonlinear Heat Transfer, 2022, submitted to Symmetry, HeatCon.mw, HeatPen.mw.
    3. Duyunova A., Lychagin V., Tychkov S. Symmetry classification of viscid flows on space curves, Journal of Geometry and Physics, Maple file.
    4. Duyunova A., Lychagin V., Tychkov S. Differential invariants for plane flows of inviscid fluids, Anal.Math.Phys. [submitted]
      1. An analysis of thermodynamics states with respect to admissible symmetries Maple file.
      2. Calculations of group orbits dimension Maple file.
      3. Calculations of invariants for the case of pure kinematical symmetries Maple file.
      4. Calculations of invariants for the case of a one-dimensional subalgebra Maple file.
      5. Calculations of invariants for the case of a two-dimensional subalgebra Maple file.
    5. Duyunova A., Lychagin V., Tychkov S. Differential invariants for plane flows of viscid fluids, Lobachevskii J Math
      1. An analysis of thermodynamics states with respect to admissible symmetries Maple file.
      2. Calculations of invariants for the case of pure kinematical symmetries Maple file.
      3. Calculations of invariants for the case of a one-dimensional subalgebra Maple file.
    6. Duyunova A., Lychagin V., Tychkov S. Differential invariants for flows of viscid fluids, Journal of Geometry and Physics [submitted]
      1. Calculations of invariants for the case of a one-dimensional subalgebra Maple file.
      2. Calculations of invariants for the case of pure kinematical symmetries Maple file.
    7. Duyunova A., Lychagin V., Tychkov S. Differential invariants for spherical flows of inviscid fluid, Lobachevskii J Math [submitted]
      1. Equations and symmetries Maple file.
      2. Calculations of invariants for the case of pure kinematical symmetries Maple file.
      3. Calculations of invariants for the case of a one-dimensional subalgebra Maple file.
      4. Calculations of invariants for the case of a two-dimensional subalgebra Maple file.
      5. An analysis of thermodynamics states with respect to admissible symmetries Maple file.
    8. Duyunova A., Lychagin V., Tychkov S. Differential invariants for spherical layer flows of inviscid fluids, Anal.Math.Phys. [submitted]
      1. Equations and symmetries Maple file.
      2. Calculations of invariants for the case of pure kinematical symmetries Maple file.
      3. Calculations of invariants for the case of a one-dimensional subalgebra Maple file.
      4. Calculations of invariants for the case of a two-dimensional subalgebra Maple file.
    9. Duyunova A., Lychagin V., Tychkov S. Differential invariants for spherical layer flows of viscid fluids, Journal of Geometry and Physics [submitted]
      1. Calculations of invariants for the case of pure kinematical symmetries Maple file.
      2. Calculations of invariants for the case of a one-dimensional subalgebra Maple file.
    10. Duyunova A., Lychagin V., Tychkov S. Quotients of Euler equations on space curves Symmetry [submitted] Maple file.