Continuum mechanics of media with inner structures

@article{Duyunova2020ContinuumMO,
  title={Continuum mechanics of media with inner structures},
  author={A. Duyunova and V. Lychagin and S. Tychkov},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
  • A. Duyunova, V. Lychagin, S. Tychkov
  • Published 2020
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • We propose a geometrical approach to the mechanics of continuous media equipped with inner structures and give the basic (mass conservation, Navier-Stokes and energy conservation) equations of their motion. 
    3 Citations
    Euler equations for Cosserat media
    Symmetries and Differential Invariants for Inviscid Flows on a Curve
    • 1
    • PDF
    Symmetry classification of viscid flows on space curves

    References

    SHOWING 1-10 OF 21 REFERENCES
    Differential invariants for spherical layer flows of viscid fluids
    • 2
    An Introduction to Fluid Dynamics
    • 12,270
    • PDF
    Non-Equilibrium Thermodynamics
    • 352
    • PDF
    Real gas flows issued from a source
    • 3
    • PDF
    Théorie des Corps déformables
    • 1,560
    Global Lie–Tresse theorem
    • 62
    • PDF
    Lie Groups: An Approach through Invariants and Representations
    • 298
    • PDF