Colloquium
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).
