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IMA Newsletter #339

January 2005

2004-2005 Program

Mathematics of Materials and Macromolecules

See http://www.ima.umn.edu/matter for a full description of the 2004-2005 program on
Mathematics of Materials and Macromolecules: Multiple Scales, Disorder, and Singularities
and http://www.ima.umn.edu/schedule for schedule updates.

News and Notes

New Participating Institution: Carnegie Mellon

Carnegie Mellon University has joined the IMA as a Participating Institution. Roy Nicolaides, chairman of the Department of Mathematical Sciences, will serve as Carnegie Mellon's representative on the Participating Institutions Council.

2005 Board of Governors

We welcome Michael P. Brenner (Harvard University), Charles R. Doering (University of Michigan), Bernd Sturmfels (University of California, Berkeley), and Margaret H. Wright (New York University) to the Board of Governors. The continuing Board members are L. Pamela Cook (University of Delaware), Katherine B. Ensor (Rice University), Robert V. Kohn (New York University), T. Craig Poling (Lockheed Martin), Eitan Tadmor (University of Maryland, College Park), Philippe Tondeur (University of Illinois at Urbana–Champaign), Ruth J. Williams (University of California, San Diego), and Mihalis Yannakakis (Columbia University). Philippe Tondeur will serve as the chairman of the Board.

Our thanks to outgoing Board members Dimitris Bertsimas (MIT), Richard D. James (University of Minnesota), James Sethian (University of California, Berkeley), and De Witt Sumners (Florida State University) for all their help. Special thanks to De Witt Sumners for his service as Board chair.

Upcoming IMA Events

The special workshop Career Options for Women in Mathematical Sciences, February 4–5, will include talks by leading women mathematicians from industry, government labs and academia, panel discussions, working groups, and an optional negotiations skills training session. The Career Workshop on Minorities and Applied Mathematics will be held April 22–24.

This winter the IMA will offer two tutorial/workshops geared towards scientists interested in industrial applications of mathematics. Composites: Where Mathematics Meets Industry, February 7–9, is organized by Graeme Milton. It will include lectures on modeling the pipeline of high performance, nano-composite materials and effective properties (Greg Forest), estimating the properties of composites and smart materials (Graeme Milton) and nanoparticle suspensions with giant electrorheological response (Ping Sheng), problem presentations by industrial scientists, and discussion groups. New Paradigms in Computation, March 28–30, is organized by Robert Kohn and will include lectures on fast multipole methods (Leslie Greengard), level set methods (James Sethian), and multiscale computation (Weinan E).

The winter lectures in the IMA public lecture series Math Matters will be given on the final evenings of the tutorial/workshops. On February 9, David Baraff will present Math Behind the Curtains: Dynamic Simulation at Pixar Animation Studios. On March 30, Thomas Hales will present Computers and the Future of Mathematical Proof.

Schedule

Wednesday, January 12

11:15a-12:15pSchrodinger Vortices IIDaniel Spirn
University of Minnesota
Lind Hall 409 MS

Tuesday, January 18

3:35p-4:35pModeling and simulation of materials under highly dynamic loadsAdrian Lew
Stanford University
Lind Hall 409 MS

Wednesday, January 19

11:15a-12:15pSingularities focus group - TBAMatthias Kurzke
University of Minnesota
Lind Hall 409 MS

Thursday, January 20

12:10p-1:10piPAWS seminar - TBALind Hall 409 iPAWS

Monday, January 24

11:15a-12:15pComputation of Multivalued Solutions of Nonlinear PDEsShi Jin
University of Wisconsin
Lind Hall 409 MS

Wednesday, January 26

11:15a-12:15pElliptic and Parabolic Spectral Problems with the p-LaplacianPeter Takac
Universitaet Rostock
Lind Hall 409 MS

Thursday, January 27

12:10p-1:10pConvex Optimization Techniques for Signal ProcessingZhi-Quan Luo
University of Minnesota
Lind Hall 409 iPAWS

Monday, January 31

11:15a-12:15pPinning and De-Pinning Phenomena in Materials Interfacial ProblemsAaron Nung Kwan Yip
Purdue University
Lind Hall 409 MS
Abstracts
Shi Jin (University of Wisconsin) Computation of Multivalued Solutions of Nonlinear PDEs
Abstract: Many physical problems arising from high frequency waves, dispersive waves or Hamiltonian systems require the computations of multivalued solutions which cannot be described by the viscosity methods. In this talk I will review several recent numerical methods for such problems, including the moment methods, kinetic equations and a level set method. Applications to the semiclassical Schroedinger equation and Euler-Poisson equations, with applications to modulated electron beams in Klystrons, will be discussed.
Adrian Lew (Stanford University) Modeling and simulation of materials under highly dynamic loads
Abstract: The simulation of the mechanical response of materials has been the task of computational mechanics since its inception. Only now, however, can we seriously envision reliable and accurate simulations for materials undergoing highly dynamic loads, such as those generated by impacts, blast and detonation of energetic materials. In this talk I will describe some key algorithmic developments to enable virtual material testing. I will present a class of time-integration algorithms termed Asynchronous Variational Integrators (AVI), designed to accelerate the simulation of multi-physics problems with multiple time scales, and discuss a predictive, multi-scale material model for shock-induced martensitic phase transitions in iron.
Daniel Spirn (University of Minnesota) Schrodinger Vortices II
Abstract: Under the limit of large Ginzburg-Landau parameter, Schrodinger vortices condense down to point particles and satisfy a simple Kirchhoff's Law - just like Euler point vortices. Given some technical variational results, I will describe the proof of vortex dynamics for the Schrodinger-Ginzburg-Landau equations. (This talk is a continuation of the December 8 lecture.)
Peter Takac (Universitaet Rostock) Elliptic and Parabolic Spectral Problems with the p-Laplacian
Abstract: We treat a canonical spectral problem for the Dirichlet p-Laplacian near the first eigenvalue. We give a precise asymptotic formula for large solutions of the spectral problem corresponding to the Fredholm alternative, thus obtaining a priori under various conditions.
Visitors in Residence
Douglas N. Arnold University of Minnesota 7/15/2001 - 8/31/2006
Donald G. Aronson University of Minnesota 9/1/2002 - 8/31/2005
Gerard Awanou University of Minnesota 9/2/2003 - 8/31/2005
Craig Benham University of California - Davis 1/1/2005 - 3/15/2005
Antony Beris University of Delaware 1/3/2005 - 1/28/2005
Fulvio Bisi Università di Pavia 1/8/2005 - 2/5/2005
Maria-Carme Calderer University of Minnesota 9/1/2004 - 6/30/2005
Qianyong Chen University of Minnesota 9/1/2004 - 8/31/2006
Brian DiDonna University of Minnesota 9/1/2004 - 8/31/2006
Ryan S. Elliott University of Michigan 1/1/2005 - 6/30/2005
Tim Garoni University of Minnesota 8/25/2003 - 8/31/2005
Eugene C. Gartland Jr. Kent State University 1/1/2005 - 6/30/2005
Robert Gulliver University of Minnesota 9/1/2004 - 6/30/2005
Chuan-Hsiang Han University of Minnesota 9/1/2004 - 8/31/2005
Richard D. James University of Minnesota 9/1/2004 - 6/30/2005
Shi Jin University of Wisconsin 1/4/2005 - 6/30/2005
Sookyung Joo University of Minnesota 9/1/2004 - 8/31/2006
Chiu Yen Kao University of Minnesota 9/1/2004 - 8/31/2006
Richard Kollar University of Minnesota 9/1/2004 - 8/31/2005
Matthias Kurzke University of Minnesota 9/1/2004 - 8/31/2006
Oleg Lavrentovich Kent State University 1/30/2005 - 2/12/2005
Frederic Legoll University of Minnesota 9/3/2004 - 8/31/2006
Adrian Lew Stanford University 1/17/2005 - 1/28/2005
Debra Lewis University of Minnesota 7/15/2004 - 8/31/2006
Xiantao Li University of Minnesota 8/3/2004 - 8/31/2006
Chun Liu Pennsylvania State University 9/1/2004 - 6/30/2005
Hailiang Liu Iowa State University 1/1/2005 - 6/30/2005
Zhi-Quan Luo University of Minnesota 1/27/2005 - 1/27/2005
Mitchell Luskin University of Minnesota 9/1/2004 - 6/30/2005
Alexander Panchenko Washington State University 1/4/2005 - 1/14/2005
Robert Pego University of Maryland 1/18/2005 - 2/18/2005
Peter Philip University of Minnesota 8/22/2004 - 8/31/2006
Daniel Phillips Purdue University 1/16/2005 - 1/29/2005
Lea Popovic University of Minnesota 9/2/2003 - 8/31/2005
Piotr Rybka Warsaw University 1/23/2005 - 2/22/2005
Rolf Ryham Pennsylvania State University 9/1/2004 - 6/30/2005
Arnd Scheel University of Minnesota 7/15/2004 - 8/31/2006
George R Sell University of Minnesota 9/1/2004 - 6/30/2005
Tien-Tsan Shieh Indiana University 9/1/2004 - 6/30/2005
Daniel Spirn University of Minnesota 9/1/2004 - 6/30/2005
Peter J. Sternberg Indiana University 8/15/2004 - 6/15/2005
Vladimir Sverak University of Minnesota 9/1/2004 - 6/30/2005
Peter Takac Universitaet Rostock 1/23/2005 - 2/12/2005
Qi Wang Florida State University 1/15/2005 - 5/15/2005
Stephen J. Watson Northwestern University 9/1/2004 - 6/30/2005
Baisheng Yan Michigan State University 9/1/2004 - 6/30/2005
Aaron Nung Kwan Yip Purdue University 1/16/2005 - 6/30/2005
Emmanuel Yomba University of Ngaoundéré 10/6/2004 - 8/31/2005
Hui Zhang Beijing Normal University 1/20/2005 - 3/1/2005
Johannes Zimmer Max-Planck-Institute for Math in the Sciences 1/23/2005 - 2/6/2005
Legend: Postdoc or Industrial Postdoc Long-term Visitor

Participating Institutions: Carnegie Mellon University, Consiglio Nazionale delle Ricerche (CNR), Georgia Institute of Technology, Indiana University, Iowa State University, John Hopkins University, Kent State University, Lawrence Livermore National Laboratories, Los Alamos National Laboratory, Michigan State University, Mississippi State University, Northern Illinois University, Ohio State University, Pennsylvania State University, Purdue University, Rice University, Sandia National Laboratories, Seoul National University (BK21), Seoul National University (SRCCS), Texas A & M University, University of Chicago, University of Cincinnati, University of Delaware, University of Houston, University of Illinois - Urbana-Champaign, University of Iowa, University of Kentucky, University of Maryland, University of Michigan, University of Minnesota, University of Notre Dame, University of Pittsburgh, University of Texas - Austin, University of Wisconsin, University of Wyoming, Wayne State University
Participating Corporations: 3M, Boeing, Corning Inc., ExxonMobil, Ford Motor Company, General Electric, General Motors, Honeywell, IBM Corporation, Johnson & Johnson, Lockheed Martin, Lucent Technologies, Motorola, Schlumberger-Doll Research, Siemens, Telcordia Technologies