Back to Departmental Colloquium: Fall 2000
Departmental Colloquium
Date: Thursday, Oct 26, 2000
Time: 4:15PM
Location: JWB 335
Andrea Bertozzi
Duke University
Title |
Pattern formation in coating flows: dewetting, shocks, and rupture |
Abstract |
Studies of thin liquid films give rise to a wealth of mathematical problems in nonlinear PDE and provide the opportunity for mathematicians to become involved in interdisciplinary research. I will review several recent problems in this area including the formation and stability of undercompressive shocks in Marangoni-gravity driven coating flows, modeling of `spinodal dewetting’ and bifurcation of patterns, finite time singularities and self-similarity, and numerical schemes based on Lyapunov functions and multiplicative splitting. All problems will illustrate the interaction between science, analysis, and methods from modern applied mathematics. |
Differential Equations
Computational Mathematics
Applied Mathematics