Building, Room 354
Halifax, Nova Scotia, B3H 4J5
I'm primarily interested in studying pattern formation.
Most of my work
involves in applying asymptotic method to simplify PDE systems to more
easily analysed problems. Right now I'm working on the continuum limit
approxmiation of inteaction of many localized structures in the
of many interfaces in the near-shadow regime of two-component
reaction-diffusion systems Shuangquan Xie and T.Kolokolnikov ( DCDS-B (Vol. 21, No. 3) May 2016
passage times, mobile traps, and Hopf bifurcations
Justin Tzou, Shuangquan Xie and T.Kolokolnikov (Phys. Rev. E, 90(6), 062138 (2015).)
The stability and slow dynamics of localized spot patterns for the 3-D Schnakenberg reaction-diffusion model
J.C. Tzou, S. Xie, T. Kolokolnikov, and M.J. Ward (2016, accepted to SIAM J. Appl. Dyn. Sys., 35 pages.)
Moving and jumping spot in a two dimensional reaction-diffusion model
Shuangquan Xie and T.Kolokolnikov , Nonlinearity 30(4):1536-1563. see movie of rotating spike.
Multi-vortex crystal lattices in Bose-Einstein Condensates with a
Shuangquan Xie, Panayotis G. Kevrekidis and Theodore Kolokolnikov, submitted to Proceedings of the Royal Society A.
Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates
P. G. Kevrekidis, Wenlong Wan, Ricardo Carretero, D. J. Frantzeskakis, and Shuangquan Xie, to appear, PRA
Math 2120 (Method for Ordinary Diffenrential
Equation) (2015 Summer)