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IMA Thematic Year On
Mathematical Methods in Materials Science
September 1995-June 1996

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mathematical methods in materials science
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Organizers
Name Present Institution
Richard James (Chair)
Graeme Milton
Jerry Moloney
Stuart Whittington
University of Minnesota
University of Utah
University of Arizona
University of Toronto

The rapid advances in material sciences within the last 30 years opens the possibility of understanding general principles and relationships linking macroscopic properties to corresponding molecular and atomic processes. However, future progress is hampered by expensive and time-consuming experiments and by the enormous complexity of phenomena. Huge improvements in the ability to measure the properties of materials has led to much improved characterization of materials. This precision of measurement has not yet been matched by corresponding improvements in mathematical theory, which could guide the development and optimization of materials on topics such as phase transitions and microstructure, molecular theory of materials, disordered materials, etc.

New mathematical ideas may help in improving modeling of materials, in deriving innovative and efficient numerical methods, and in developing approximate models which are amenable to mathematical analysis. The goal of the year in "Mathematical Methods in Materials Science" is to bring together materials scientists and mathematicians to talk to each other, to transfer problems, ideas and methods from one community to another, so as to enhance further progress in the understanding of materials. We also hope that the program will have an impact upon the career path of the postdoctorates, thereby strengthening future links between mathematicians and materials scientists. The year program will focus on topics such as phase transitions, optimal materials, the passage from atomistic to continuum theory, disordered materials, materials for nonlinear optics, and polymers. The mathematical disciplines involved in the program will include partial differential equations, numerical analysis, homogenization and stochastic techniques, and geometric and topological methods for polymers.


Fall Quarter, September 5 - December 24, 1995:
Phase Transitions, Optimal Microstructures and Disordered Materials

Winter Quarter, January 2 - March 31, 1996:
Particulate Flows, Thin Films and Nonlinear Optical Materials

Spring Quarter, April 1 - June 30, 1996:
Numerical Methods and Topological/Geometric Properties in Polymers


Winter 1996
Thin Films, Particulate Flows & Nonlinear Materials

Confirmed Long-Term Visitors:

Name Present Institution
Douglas Arnold
John Ball
Oscar Bruno
Maria Carme Calderer
Dan Dahlberg
Donald Drew
Eugene C. Gartland,Jr.
Richard James
Hyejin Ku
Perry Leo
Walter Littman
Mitchell Luskin
Chi-Sing Man
Wei-Ming Ni
Peter Olver
Bruce Pitman
Fernando Reitich
Alain Sei
Quan Shen
Scott Spector
John Sullivan
De Witt Sumners
Vladimir Sverak
Stuart Whittington
Stephen Willson
Pennsylvania State Univeristy
Heriot-Watt University
Caltech
Pennsylvania State University
University of Minnesota
Rensselaer Polytechnic Institute
Kent State University
University of Minnesota
Seoul National University
University of Minnesota
University of Minnesota
University of Minnesota
University of Kentucky
University of Minnesota
University of Minnesota
SUNY-Buffalo
North Carolina State University
Caltech
Pennsylvania State University
Southern Illinois University
University of Minnesota
Florida State University
University of Minnesota
University of Toronto
Iowa State University

  • Workshop 5: Particulate Flows: Processing and Rheology, January 8-12, 1996

  • Workshop 6 : Modeling of Film Growth and Deposition Processes-Evolution of Film Microstructure and Morphology, January 24-26, 1995

  • Workshop 7 : Optimization and Control for Materials Processing Applications: Simulations, Models, and Strategies, February 1-3, 1996

  • Workshop 8: Interface and Thin Films, February 5-9, 1996

  • Period of Concentration: Light Propagation in Optical Wave Guiding Material, February15-March 15, 1996

  • Tutorial: Nonlinear Optical Material , February 28-March 1, 1996

  • Workshop 9: Nonlinear Optical Materials, March 4-8, 1996

  • Workshop 10: Topics Related to Nonlinear PDE , March 25-29, 1996


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    Spring 1996
    Numerical Methods & Topological/Geometric Properties in Polymers
    Confirmed Long-Term Visitors:

    Name Present Institution
    Marco M. Avellaneda
    Douglas Arnold
    Mik Bickis
    Maria Carme Calderer
    Dan Dahlberg
    Richard James
    Robert Kusner
    Perry Leo
    Walter Littman
    Mitchell Luskin
    Chi-Sing Man
    Wei-Ming Ni
    Peter Olver
    Enzo Orlandini
    Steve Quake
    Michael Shelley
    Quan Shen
    Jonathan K. Simon
    Jey Sivaloganathan
    Christine Soteros
    Atillo Stella
    John Sullivan
    De Witt Sumners
    Vladimir Sverak
    Maria Clara Tesi
    Buks van Rensburg
    Stuart Whittington
    Stephen Willson
    Giovanni Zanzotto
    Courant Institute-NYU
    Pennsylvania State Univeristy
    University of Saskatchewan
    Pennsylvania State University
    University of Minnesota
    University of Minnesota
    University of Massachusetts
    University of Minnesota
    University of Minnesota
    University of Minnesota
    University of Kentucky
    University of Minnesota
    University of Minnesota
    Oxford University
    Stanford University
    Courant Institute-NYU
    Pennsylvania State University
    University of Iowa
    University of Bath-UK
    University of Saskatchewan
    University of Padova
    University of Minnesota
    Florida State University
    University of Minnesota
    Oxford University
    York University
    University of Toronto
    Iowa State University
    CNR-University of Padova

  • Tutorial: Monte Carlo Methods, May 8-10, 1996

  • Workshop 11: Numerical Methods for Polymeric Systems ,May13-17,1996

  • Tutorial: Topology and Statistical Mechanics of Polymers, June3-6,1996

  • Workshop 12: Topology and Geometry in Polymer Science, June 10-14, 1996


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