12 citations · 48 across the 26 of their papers we have counts for
5 papers · 1 filter
Characterization of steady solutions to the 2D Euler equation
Anton Izosimov, Boris Khesin
Steady fluid flows have very special topology. In this paper we describe necessary and sufficient conditions on the vorticity function of a 2D ideal flow on a surface with or witho…
Singularities of integrable systems and algebraic curves
Anton Izosimov
We study the relationship between singularities of finite-dimensional integrable systems and singularities of the corresponding spectral curves. For the large class of integrable s…
Matrix polynomials, generalized Jacobians, and graphical zonotopes
Anton Izosimov
A matrix polynomial is a polynomial in a complex variable with coefficients in complex matrices. The spectral curve of a matrix polynomial is the curve $\{…
Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics
Anton Izosimov, Boris Khesin, Mehdi Mousavi
We give a classification of generic coadjoint orbits for the groups of symplectomorphisms and Hamiltonian diffeomorphisms of a closed symplectic surface. We also classify simple Mo…
Euler equations on the general linear group, cubic curves, and inscribed hexagons
Konstantin Aleshkin, Anton Izosimov
We study integrable Euler equations on the Lie algebra by interpreting them as evolutions on the space of hexagons inscribed in a real cubic curve.