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Dejan Slepcev (Carnegie Mellon University, Pittsburgh)
| Speaker: |
Dejan Slepcev
(Carnegie Mellon University, Pittsburgh)
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| Date: |
Wednesday June 17, 2009
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| Title: |
Coarsening in
energy-driven systems
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Abstract
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Many energy-driven systems
exhibit coarsening behavior. Starting from an unstable state a system
quickly equilibrates locally, while remaining globally far from the
equilibrium. The pattern that initially forms slowly coarsens over time
- the characteristic length scales of its features grow. I
will discuss examples of the coarsening behavior in thin
liquid films, phase segregation, models of biological
aggregation, and grain boundary networks. In particular, I
will present applications of the approach by Kohn and Otto for
obtaining rigorous upper bounds on the rate of coarsening. I will also
discuss some limitations of the approach and how they may be overcome.
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