3 citations · 9 across the 7 of their papers we have counts for
5 papers · 1 filter
Symmetry classification of viscid flows on space curves
Anna Duyunova, Valentin Lychagin, Sergey Tychkov
Symmetries and differential invariants of viscid flows with viscosity depending on temperature on a space curve are given. Their dependence on thermodynamic states of media is stud…
Symmetries and Differential Invariants for Viscid Flows on a Curve
Anna Duyunova, Valentin Lychagin, Sergey Tychkov
In this paper, flows of a viscid fluids on curves are considered. Symmetry algebras and the corresponding fields of differential invariants are found. We study their dependence on…
Continuum mechanics of media with inner structures
Anna Duyunova, Valentin Lychagin, Sergey Tychkov
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)…
Symmetries and Differential Invariants for Inviscid Flows on a Curve
Anna Duyunova, Valentin Lychagin, Sergey Tychkov
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 c…
Differential invariants for flows of fluids and gases
Anna Duyunova, Valentin Lychagin, Sergey Tychkov
This paper surveys results found by the authors in the previous papers (see for example, A. Duyunova, V. Lychagin, S. Tychkov, Differential invariants for spherical layer flows of…