68 citations · 344 across the 50 of their papers we have counts for
4 papers · 1 filter
On the rate of merging of vorticity level sets for the 2D Euler equations
Andrej Zlatos
We show that two distinct level sets of the vorticity of a solution to the 2D Euler equations on a disc can approach each other along a curve at an arbitrarily large exponential ra…
Multidimensional transition fronts for Fisher-KPP reactions
Amir Alwan, Zonglin Han, Jessica Lin +2
We study entire solutions to homogeneous reaction-diffusion equations in several dimensions with Fisher-KPP reactions. Any entire solution is known to satisfy \[ \lim_{t\to…
Ballistic Orbits and Front Speed Enhancement for ABC Flows
Tyler McMillen, Jack Xin, Yifeng Yu +1
We study the two main types of trajectories of the ABC flow in the near-integrable regime: spiral orbits and edge orbits. The former are helical orbits which are perturbations of s…
Periodic orbits of the ABC flow with
Jack Xin, Yifeng Yu, Andrej Zlatoš
In this paper, we prove that the ODE system whose right-hand side is…