Workshop on Pattern Formation

  • Start Date: 07/18/2015
  • End Date: 07/19/2015
Panayotis Kevrekidis, University of Massachusetts
Ricardo Carretero, San Diego State University
Roy Goodman, New Jersey Institut of Technology
Alanna Hoyer-Leitzel, Bowdoin College
Yana Nec, Mount Allison University
David Iron, Dalhousie University
Alan Lindsay, University of Notre Dame
Justin Tzou, University of British Columbia
Daniel Gomez, University of British Columbia
Mary Silber, Northwestern University
Yuxin Chen, Northwestern University
Andrew J. Bernoff, Harvey Mudd College
Alexandria Volkening, Brown University
Shuangqian Xie, Dalhousie University
Xiaofeng Ren, George Washington University
Matthias Winter, Brunel University London
Juncheng Wei, University of British Columbia

Dalhousie University


The focus of the workshop was to present latest results and open problems related to partial differential equation models (PDE) whose solutions exhibit complex spatio-temporal dynamics. A fundamental technique to understand these dynamics is to identify essential features which act as the basic building blocks of the solution to the PDE. Using these basic components, a complex PDE system can often be effectively described by a finite dimensional dynamical system of interacting particles. This reduced system of coupled ordinary differential equations (ODEs) is usually more amenable for the study of the existence, stability and dynamics of the different configurations supported by the system. This procedure is continually used with great success in many physical systems. The workshop focussed on bringing together researchers who use these finite dimensional reductions in a wide range of areas of application, including the study of vortex dynamics in Bose-Einstein condensates, in models of swarming behavior, and in the study of  first passage time problems in the presence of localized traps.

Abstracts / Downloads / Reports: 

The schedule, abstracts and further information are available here.


Theodore Kolokolnikov, Dalhousie University

Ricardo Carretero, San Diego State University

Michael Ward, University of British Columbia

Other Information: 

Full scientific report available here