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math.AP2026
Orbit-Level Transfer Matrix for the 3D Fourier-Galerkin Navier-Stokes System on the Periodic Torus: Explicit Orbit-Triad Incidence Bounds and Deterministic Row-Sum Estimates
Oleg Kiriukhin
I study the cubic Fourier-Galerkin truncation of the three-dimensional (3D) incompressible Navier-Stokes equations on the periodic torus after reduction by the full octahedral symm…
math.AP2026
Orbit-Level Stretching in Cubic Fourier-Galerkin Navier-Stokes: Sharp Incidence, Spectral Decay, and a Continuation Criterion
Oleg Kiriukhin
I study orbit-level enstrophy stretching in a cubic Fourier-Galerkin truncation of the three-dimensional incompressible Navier-Stokes equations, reduced by the full octahedral symm…
math.AP2014
Differential invariants of feedback transformations for quasi-harmonic oscillation equations
D. S. Gritsenko, O. M. Kiriukhin
The goal and the main result of the paper is to provide a complete description of the field of rational differential invariants of one class of second order ordinary differential e…