4:00 p.m., Monday (January 23, 2006)

MATH 105

Antoine Mellet
University of Texas, Austin

On the homogenization of some free boundary problems

Free boundary problems arise in the modeling of many natural phenomena such as the combustion of a premixed gas or the shaping of capillary drops. Mathematically, these problems are known to yield very challenging questions. In this talk, I will discuss the effects of homogenization on the free boundary condition. In particular, I will show that oscillations arising along the free boundary typically yield hysteresis phenomena.

Refreshments will be served at 3:45 p.m. (MATX 1115, Math Lounge).

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