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IMA Thematic Year on
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
Confirmed Long-Term Visitors:
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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Confirmed Long-Term Visitors:
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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