3 papers
physics.flu-dyn2026
A simple Lagrangian for shallow water equations with constant potential vorticity
Anton Galajinsky
Inspired by a recent gauge field description of shallow water equations [SciPost Phys. 14 (2023) 102], in this work we build a simple Lagrangian formulation for the case of constan…
math-ph2026
Perfect fluid equations with nonrelativistic conformal symmetry: Exact solutions
Anton Galajinsky
The group-theoretic approach is used to construct exact solutions to perfect fluid equations invariant under the Schrodinger group, or the l-conformal Galilei group, or the Lifshit…
hep-th2023
Equations of fluid mechanics with N=1 Schrodinger supersymmetry
Anton Galajinsky
Equations of fluid mechanics with N=1 Schrodinger supersymmetry are formulated within the method of nonlinear realizations of Lie groups.