4 citations · 7 across the 5 of their papers we have counts for
5 papers
Equilibria for an aggregation model with two species
Joep H. M. Evers, Razvan C. Fetecau, Theodore Kolokolnikov
We consider an aggregation model for two interacting species. The coupling between the species is via their velocities, that incorporate self- and cross-interactions. Our main inte…
Vortex Nucleation in a Dissipative Variant of the Nonlinear Schrödinger Equation under Rotation
R. Carretero-Gonzalez, P. G. Kevrekidis, T. Kolokolnikov
In the present work, we motivate and explore the dynamics of a dissipative variant of the nonlinear Schr{ö}dinger equation under the impact of external rotation. As in the well est…
Drunken robber, tipsy cop: First passage times, mobile traps, and Hopf bifurcations
Justin C. Tzou, Shuangquan Xie, Theodore Kolokolnikov
For a random walk on a confined one-dimensional domain, we consider mean first passage times (MFPT) in the presence of a mobile trap. The question we address is whether a mobile tr…
Mean first passage time for a small rotating trap inside a reflective disk
Justin C. Tzou, Theodore Kolokolnikov
We compute the mean first passage time (MFPT) for a Brownian particle inside a two-dimensional disk with reflective boundaries and a small interior trap that is rotating at a const…
A minimal model of predator-swarm interactions
Yuxin Chen, Theodore Kolokolnikov
We propose a minimal model of predator-swarm interactions which captures many of the essential dynamics observed in nature. Different outcomes are observed depending on the predato…