3 papers
hep-th2026
Dependence of Critical Exponents Accuracy on the Number of Fields in the O(N) -Invariant ϕ^4 Model
Abouzeid M. Shalaby
The study of large- cases of the -symmetric model at criticality has attracted significant attention in recent years. In particular, a recent high-precision Monte Carlo st…
physics.flu-dyn2024
On the inviscid instability of the 2D Taylor-Green vortex
Xinyu Zhao, Bartosz Protas, Roman Shvydkoy
We consider Euler flows on two-dimensional (2D) periodic domain and are interested in the stability, both linear and nonlinear, of a simple equilibrium given by the 2D Taylor-Green…
math.AP2024
Environmental Averaging
Roman Shvydkoy
Many classical examples of models of self-organized dynamics, including the Cucker-Smale, Motsch-Tadmor, multi-species, and several others, include an alignment force that is based…