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 dynamics of
vortices in Gross-Pitaveskii equation with rotating trap.
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 ,Submitted to Nonlinearity. see movie of rotating spike.
Math 2120 (Method for Ordinary Diffenrential
Equation) (2015 Summer)