DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:** James Warren, NIST

**Title: ***
Phase field modeling of wetting, nucleation and more
*

**Abstract:**
Wetting remains one of the crucial areas of study in materials science, as it
provides a direct measurement of the influence of surface energy on the properties and performance of
materials. Indeed, the addition of hydrodynamics to diffuse interface models of phase
transformations has now been well studied in some relatively simple
systems. However, properly coupling such flows to a description of an
elastic solid remains an area where the models need substantial
improvements. After reviewing some of the basics, we will explore the fascinating problem
of reactive wetting, where a droplet disolves the substrate upon which
it spreads. Describing this system mathematically, for realistic
materials (such as Sn-Bi) in a manner that admits numerical solutio cales is the focus of this work.

**Time:** Friday, Sept. 26, 2008, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491