IMA Workshop:

Singularities in Materials

October 25-29, 2004

Organizers:

Fanghua Lin
Courant Institute of Mathematical Sciences
New York University
linf@courant.nyu.edu
http://www.math.nyu.edu/faculty/linf/

Jacob Rubinstein
Department of Mathematics
Indiana University
jrubinst@indiana.edu
http://www.math.indiana.edu/people/profile.phtml?id=jrubinst

Peter J. Sternberg
Department of Mathematics
Indiana University
sternber@indiana.edu
http://www.math.indiana.edu/people/profile.phtml?id=sternber

Description:

The aim of this workshop is to bring together mathematicians and physicists conducting research on models for superconductors, liquid crystals, micromagnetics, certain optical systems and thin films. The focus here will be on our ability to capture through these models the most interesting singular structures arising in these different contexts. Such structures include Ginzburg-Landau vortices, Bloch and Neel walls in micromagnetics, phase transition behavior in liquid crystals, optical singularities, folding patterns in thin film blisterings, etc.

Through the workshop, we hope to characterize the similarities and distinctions between these different structures and to compare the analytical tools available for the study of the different models. Emphasis will be placed on identifying physically interesting and mathematically tractable open problems in these areas.

WORKSHOP SCHEDULE
Monday Tuesday Wednesday Thursday Friday
MONDAY, OCTOBER 25 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30	Coffee and Registration	Reception Room EE/CS 3-176
9:15	Douglas N. Arnold and Organizers	Welcome and Introduction
9:30	Stan Alama McMaster University	Vortices and Pinning Effects for the Ginzburg-Landau Model in Multiply Connected Domains Slides:   pdf
10:30	Discussion and coffee	Reception Room EE/CS 3-176
11:00	Andre Geim University of Manchester	Sub-Atomic Movements of Domain Walls in Crystal-Lattice Potential Slides:   pdf
12:00	Lunch break
1:30	Jack Xin University of Texas - Austin	The (2+1) sine-Gordon Equation and Dynamics of Localized Pulses Paper:   pdf
2:30	Group photo here
3:00	Coffee, tea, and further discussion	Lind Hall 400
4:00	IMA Tea and more (with POSTER SESSION) 400 Lind Hall Suman Anand National Physical Laboratory Investigation of the Spectral Properties at Phase Singularity Tiziana Giorgi New Mexico State University Superconductors Surrounded by Normal Materials Sookyung Joo IMA The Phase Transitions Between the Chiral Nematic and Smectic Liquid Crystals Richard Kollar IMA Linear Stability of Vortices in Bose-Einstein Condensates Matthias Kurzke IMA Boundary Vortices in Thin Magnetic Films Robert P. Lipton Louisiana State University Optimal Lower Bounds on the Electric-Field Concentration in Random Dielectric Media Peter Philip IMA Optimal Contol of a PDE with Weakly Singular Integral Operator: Tuning Temperature Fields During Crystal Growth Slides:   pdf Peter Takac Universitaet Rostock The Time-Dependent Ginzburg-Landau Equations in the Energy Space W1,2() Emmanuel Yomba University of Ngaoundere New exact Solutions for the Coupled Klein-Gordon-Schoedinger Equations Wendy Zhang Oakland University Surface Faceting Induced by Instability and Singularity in Evolution Equations
TUESDAY, OCTOBER 26 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00	Coffee	Reception Room EE/CS 3-176
9:30	Peter Palffy-Muhoray Kent State University	Photonic Band Gap Aspects of Liquid Crystals
10:30	Discussion and coffee	Reception Room EE/CS 3-176
11:00	Rustum Choksi   Simon Fraser University	Phase Separation in Block Copolymer Systems: Paradigms for Multiscale Phase Separation Slides:   pdf
12:00	Lunch break
1:30	Alexander A. Nepomnyashchy Technion - Israel Institute of Technology	Feedback Control of Singularities in Models of Directional Solidification
2:40	Mark J. Ablowitz University of Colorado	Wave Collapse in Nonlocal Nonlinear Schrödinger Equations
4:00	Coffee, tea, and further discussion	Lind Hall 400
WEDNESDAY, OCTOBER 27 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00	Coffee	Reception Room EE/CS 3-176
9:30	Robert V. Kohn Courant Institute	A Deterministic-Control-Based Approach to Interface Motion Slides:   pdf Paper:   pdf
10:30	Discussion and coffee	Reception Room EE/CS 3-176
11:00	Francois Peeters Universiteit Antwerpen	Vortex Matter in Nanostructured and Hybrid Superconductors Slides:   html    pdf    ps    ppt
12:00	Lunch break
1:30	Boaz Ilan University of Colorado at Boulder	Singularity Formation in Nonlinear Schrodinger Equations with Fourth-Order Dispersion Slides:   pdf
2:40	Xingbin Pan East China Normal University	Nucleation of Smectics
4:00	Coffee, tea, and further discussion	Lind Hall 400
THURSDAY, OCTOBER 28 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00	Coffee	Reception Room EE/CS 3-176
9:30	Dmitry Pelinovsky McMaster University	Discrete Solitons and Vortices in Nonlinear Schrödinger Lattices Preprint 1:   pdf Preprint 2:   pdf
10:30	Discussion and coffee	Reception Room EE/CS 3-176
11:00	Sylvia Serfaty New York University	Vortex-Dynamics in the Ginzburg-Landau Heat-Flow
12:00	Lunch break
1:30	Yves Pomeau University of Arizona	Finite Time Singularities of Solutions of the Euler Fluid Equations in 3D
2:40	Fabrice Bethuel ENPC-CERMA	Slow Motion Collisions and Phase Vortex Interaction in the Two-Dimensional Parabolic Ginzburg-Landau Dynamics
4:00	Coffee, tea, and further discussion	Lind Hall 400
6:00	Dinner	Caspian Bistro
FRIDAY, OCTOBER 29 All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00	Coffee	Reception Room EE/CS 3-176
9:30	Alan Dorsey University of Florida	Electronic "Liquid Crystals"
10:30	Discussion and coffee	Reception Room EE/CS 3-176
11:00	Daniel Phillips Purdue University	Existence of Classical Solutions of the Time-Dependent Ginzburg--Landau Equations for a Bounded Superconducting Domain in a Vacuum
12:00	Lunch break
1:30	Jacob Rubinstein Indiana University	The Least Action Principle for Waves
2:30	Organizers	Closing remarks

LIST OF CONFIRMED PARTICIPANTS

Photo Gallery

Material from Talks

Abstracts

Mathematics of Materials and Macromolecules: Multiple Scales, Disorder, and Singularities, September 2004 - June 2005