A model of crystal growth with corner regularization
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Mon, 03/05/2010 17:00 |
Aaron N. K. Yip (Purdue) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| 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 will also be presented together with numerical simulations. This is joint work in progress with Fang Wan. | |||