Shuangquan Xie

Ph.D. StudentCirca 2011

Chase Building, Room 354
Department of Mathematics and Statistics
Dalhousie University
Halifax, Nova Scotia, B3H 4J5

My CV.

Research Interests

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 Giere-Meinhardt  model


Oscillations 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

First 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 rotating trap
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)