8:25 AM - 9:10 AM
Room: Salon E - Level 5
Chair:
Michael Shearer, North Carolina State University
Thin films and moving contact lines arise in many modern day applications, including liquid linings of biological tissue, de-icing of airplane wings, gene chip fabrication, and microfluidics. This talk will review a growing research area that bridges the gap between the mathematics of fourth order nonlinear PDE and physical problems related to thin films and moving contact lines. We explain the lubrication approximation for viscous films and review some of the recent mathematical activity related to this problem. We then focus on two applications that illustrate the interaction between experiment, applied analysis, modeling, and numerical simulation: dewetting films and undercompressive shocks in driven films.
Andrea L. Bertozzi
University of California, Los Angeles