June 19, 2018

Workshop on Applications of Pattern Formation
March 23-28, 1993

Organizers: J. Chadam (Waterloo), B. Wetton (UBC)

This workshop will bring together scientists and mathematicians studying pattern formation in a wide variety of specific applications modeled by partial differential equations. Significant progress has been achieved through interdisciplinary approaches of this type in the past decade. The emphasis in the workshop will be on realistic physical applications and on applying new mathematical theory in order to understand the underlying mechanisms.

A partial list of participants:

S. Alama (McMaster), D. Barkley (Texas), L. Bronsard (McMaster), S. Cantic (Stony Brook), G. Caginalp (Pittsburgh), G. Cruywagen (Washington), K. Diemer (Los Alamos), M. Golubitsky (Houston), P. Holmes (Cornell), R. Kapral (Toronto), Y. Kevrekidis (Princeton), G. Keyfitz (Houston), E. KKnobloch (Berkeley), W. Langford (Guelph), A. Lawniczak (Guelph), A. Mahalov (Arizona), J. Marsden (Fields), B. Matkowsky (Northwestern), R. Miura (British Colubia), L. Mysak (McGill), W. Nagata (UBC), S. Namachchivaya (Illinois), P. Ortoleva (Indiana), A. Peirce (McMaster), D. Peltier (Toronto), I. Stewart (Warwick), L. Trainor (Toronto), B. Wetton (UBC), S. Wiggins (Caltech), and J. Wu (York).



Tuesday, March 23, 1993

9:00am-5:00pm Registration Check in with Judy Motts, The Fields Institute Room 3003
5:00pm - 7:00pm Reception Fields Institute Common Room
All participants are welcome to attend


Wednesday, March 24, 1993

8:50 - 9:00 Jerrold E. Marsden Director, The Fields Institute Opening Remarks
9:00 - 9:45 Ian Stewart
University of Warwick
Hidden Symmetries of PDEs
9:50 - 10:15 Gunduz Caginalp
University of Pittsburgh
Distinguished Limits of the Phase field Equations: Stefan Model and Motion by Mean Curvature
10:15 - 10:35 Refreshment Break Common Room
10:35 - 11:25 Edgar Knobloch
University of California at Berkeley
Pattern Selection in Three-Dimensional Magnetoconvection
11:30 - 11:55 Thomas Clune
University of California at Berkeley
A Package for Determining Pattern Selection
11:55 - 1:30 Lunch  
1:30 - 3:00 Open Discussion Time Both seminar rooms (3013 and 3018) and the common areas are available for informal discussions
3:00 - 3:15 Afternoon Tea Common Room
3:15 - 4:00 Jerrold E. Marsden Hamiltonian Structures and Symmetry Breaking
4:05 - 4:30 Alex Mahalov
Arizona State University
Instabilities and Patterns in Viscous Rotating Pipe Flow
4:35 - 5:00 N. Sri Namachchivaya
University of Illinois

Externally Excited Two Degree of Freedom Coupled Nonlinear Oscillators


Thursday, March 25, 1993

9:00 - 9:45 Bernard Matkowsky
Northwestern University
Bifurcation, Nonlinear Dynamics and Pattern Formation in Combustion Synthesis of Advanced Materials
9:50 - 10:15 Emily Stone
Arizona State University
Extraction Structure and Dynamics from Complicated Spatio-Temporal Data: Gorman's Flames
10:15 - 10:35 Refreshment Break Common Room
10:35 - 11:00 Shui-Nee Chow
Georgia Institute of Technology
Traveling Wave Solutions for Lattice Dynamics
11:05 - 11:30 Jinqiao Duan
Cornell University
Translating Patterns in a Generalized Ginzburg-Landau Amplitude Equation
11:35 - 12:00 Lunch  
1:30 - 3:00 Open Discussion Time Both seminar room (3013 and 3018) and the common areas are available for informal discussions
3:00 - 3:15 Afternoon Tea Common Room
3:15 - 4:00 Robert M. Miura
University of British Columbia
Application of Temporal Pattern Formation to Rate of Insulin Release from Pancratic Beta-Cells
4:05 - 4:30 Gerhard Cruywagen
University of Washington
Modeling Traveling Waves of Spatial Patterning in Morphogenesis
4:35 - 5:00 Lynn Trainor
University of Toronto
Generation on Form in Developmental Biology
6:30 - 7:00 Cash Bar There will be a dinner at The University Club, University of Waterloo. There is no cost for speakers and participant. Guests can attend for $25.00 each, in advance. Advanced Reservations ar confirmed. Requests recieved after March 19 are subject to availability.


Friday, March 26, 1993

9:00 - 9:45 Lawrence Mysak
McGill University
Climate Variability on the Century Time Scale: Observations and Models
9:50 - 10:15 Huijun Yang
University of Chicago
Chaotic Mixing and Transport in Dynamical Systems and Simulation of Cloud Pattern
10:15 - 10:35 Refreshment Break
Common Room
10:20 - 11:00 Mei-Man Lee
University of Liverpool
Numerical Modelling of Mesoscale Eddies in the Ocean
11:05 - 11:50 Richard Peltier
University of Toronto
Coherent Structure Formation in Three Dimensional Baroclinic Jets
11:50 Lunch Free Afternoon
Open discussion, or informal trips to Toronto or Niagara Falls, assisted by staff coordinator
3:00 - 3:15 Afternoon Tea Common Room


Saturday, March 27, 1993

9:00 - 9:45 Stephen Wiggins
California Institute of Technology
Geometry, Structure, and Transport in Three-Dimensional Tim-Dependent Fluid Flows
9:50 - 10:15 Yannis Kevrekidis
Princeton University
Waves on Thin Films, on Circular Electrode Surfaces, on Pt surfaces and in the Shedding Behind a Cylinder: Some Case Studies
10:15 - 10:35 Refreshement Break Common Room
10:35 - 11:00 Barbara Lee Keyfitz
University of Houston
Shocks Near the Sonic Line in Unsteady Change of Type
11:05 - 11:30 Suncica Canic
The Fields Institute
Structural Stability of Viscous Shock Profiles
11:35 - 12:00 Swight Barkley
University of Texas
Spirals, Symmetries, and Instabilities
12:00 - 1:30 Lunch A Buffet Lunch will be available in the Fields Institute Common Room. The cost is $8.00 per person, in advance. Advance reservations are confirmed. Requested recieved after March 18 are subject to availability.
1:30 - 3:00 Open Discussion Time Both seminar rooms (3013 and 3018) and the common areas are available for discussions
3:00 - 3:15 Afternoon Tea Common Room
3:15 - 4:00 Philip Holmes
Cornell University
Energy Minimization, Dynamics and Microstructure
4:05 - 4:30 Lia Bronsard
McMaster University
On Three-Phase Boundary Mothon and the Singular Limity of a Vector-Valued Ginzburg-Landau Equation
4:35 - 5:00 Erick Van Vleck
Simon Fraser University
Spatially Discrete Diffusion Efquations and the Existence of Quad Junctions


Sunday, March 28, 1993

9:00 - 9:45 Peter Ortoleva
Indiana University
Bifurcation and Homogenization Problems in Reacting Porous Media
9:50 - 10:15 Anthony Peirce
McMaster University
Shear and Flutter Instabilities, Microstructure and Solitons
10:15 - 10:35 Refreshment Break Common Room
10:35 - 11:20 Martin Golubitsky
University of Houston
Symmetry and Chaos: Patterns on Average