### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Brian Nakamura**, Rutgers University, bnaka {at} math [dot] rutgers [dot] edu
** Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: Coarsening and the deep quench obstacle problem

Speaker: **Amy Novick-Cohen**, Technion, Israel

Date: Thursday, September 8, 2011 5:00pm

Location: ROOM CHANGE: CoRE 431 (DIMACS Seminar Room), CoRE
Building, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

The deep quench obstacle problem constitutes a mathematical model for low temperature phase separation. As in similar models, such as the Cahn-Hilliard equation, the dynamics are typically marked by an initial linear regime, followed by local saturation to equilibrium, and then by an extended coarsening regime. While various aspects of this dynamics of this problem are well understood, relatively recent results have shed some new light on, for example, precise coarsening rates and their realm of applicability. In the present lecture, we plan to present a variety of numerical results, which provide guidelines for analytical conjecture by focusing on various benchmarks.

(Joint work with L. Banas and R. Nurnberg.)

See: http://www.math.rutgers.edu/~bnaka/expmath/