Graduate Programs      Graduate Home Ph D Programs Masters Degree Ph D Program Requirements Course Descriptions Current Courses Admissions Current Graduate Students Graduate Student Seminar SIAM Chapter Seminar Recent Graduates Incoming Students Graduate Seminar Matteo Rinaldi Carnegie Mellon University Title: Introduction to Slow phase boundary motion in one space dimension Abstract: We will be talking about a paper written by Lia Bronsard and Robert Kohn, where the limiting behavior of solutions of $u_t - \epsilon^2 u_{xx} + u^3 - u = 0$ is studied. The analysis is based on "energy methods" and the initial data is assumed to have a "transition layer structure", i.e., it is close to a piecewise constant function with values +1 or -1 in some sense. The authors show that, as $\epsilon \to 0$, the transition points move slower than any power of $\epsilon$. Physical motivations for the study of such a model will be briefly discussed as well.Date: Tuesday, October 21, 2014Time: 5:30 pmLocation: Wean Hall 8220Submitted by:  Zilin Jiang