U.S. Participating Institutions
European Partners
Industrial Partner
This PIRE (Partnerships for International Research and Education) project is a five-year National Science Foundation (NSF)-funded international collaboration program (NSF abstract) starting on January 2011. The scientific scope is directed to issues in applied mathematics and mechanics, including partial differential equations, calculus of variations, and scientific computation, which arise from the materials sciences.
Four principal research areas are identified:
- Pattern formation from energy minimization
- Challenges in atomistic to continuum modeling and computing
- Prediction of hysteresis
- Pattern dynamics and evolution of material microstructure
Many contemporary problems in new and advanced materials are related to the variety of length and time scales and heterogeneities inherent in their fabrication and function. Predictive theories for these complex systems require new advanced mathematics whose discovery will be enhanced by international collaboration.
Training
We will be accepting applications for graduate students and postdoctoral fellows in the Fall 2012.
Graduate Courses
21-820 Perspectives on Microstructure - Spring 2012
MATH 8450 Topics in Numerical Analysis: Multiscale Numerical Analysis for Materials - Spring 2012
Minicourse on "A mathematical perspective on the structure of matter" - May 14 - 16, May 20, 2012, 10:00 a.m. - 12:00 noon
Outreach
Summer Undergraduate Applied Mathematics Institute
Workshops
Math Workshops Spring 2012
Course and Syllabus Design:
Monday, April 2, 4:30-5:30
Teaching Problem Solving: Monday, April 9, 4:30-5:30
Learn more
CNA Workshop: "Macroscopic Modeling of Materials with Fine Structure"
Dates: May 26 - 28, 2011
Workshop: "Pattern Formation and Multiscale Phenomena in Materials"
Dates: September 26-28 2011
CNA Conference: "Incompressible fluids, turbulence and mixing, in honor of Peter Constantin's 60th birthday"
Dates: Oct 13-16, 2011
Hausdorff Trimester Program: "Mathematical challenges of materials science and condensed matter physics:
From quantum mechanics through statistical mechanics to nonlinear pde"
Dates: May - August 2012
Summer Schools
Summer School: "New frontiers in multiscale analysis and computing for materials"
Dates: June 21-29, 2012
Poster: PIRE-workshop2012-poster.pdf
Picture in banner: An image related to joint work of Ball, Koumatos & Seiner (courtesy H. Seiner).
