COLLOQUIUM
DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309
Aaron N.K. Yip
Purdue University
A Model of Crystal Growth with Comer Regularization
Abstract
We investigate a dynamic model of two dimensional crystal growth described by a forward-backward parabolic equation. The ill-posed region of the equation describes the motion of corners on the surface. We analyze a fourth order regularized version of this equation and show that the dynamical behavior of the regularized corner can be described by a traveling wave solution. The speed of the wave is found by rigorous asymptotic analysis. The interaction between multiple corners and the behavior of wrinkled surfaces will also be presented together with numerical simulations. This is joint work with Fang Wan
Thursday, October 7, 2010
2:30 – 3:30 P.M.
372 Science and Engineering Building
(Refreshments at 2:00-2:30 PM in the kitchen area adjacent to 368 SEB)