2 papers
math.AP2025
Symmetry analysis and new partially invariant solutions for the gas dynamics system with a special equation of state
Dilara Siraeva, Irina A. Kogan
This paper is a contribution to the symmetry analysis of the gas dynamics system in the vein of the ''podmodeli'' (submodels) program outlined by Ovsyannikov (1994). We consider th…
math.AG2024
Equi-affine minimal-degree moving frames for polynomial curves
Hoon Hong, Irina A. Kogan
We develop a theory and an algorithm for constructing minimal-degree polynomial moving frames for polynomial curves in an affine space. The algorithm is equivariant under volume-pr…