Analysis of Fluids and Related Topics: Shapes of equilibrium capillary drops on a rough surface, William Feldman, University of Chicago

Analysis of Fluids and Related Topics
  • William Feldman
  • University of Chicago
  • Shapes of equilibrium capillary drops on a rough surface
Oct 24, 2019
4:30 pm
Fine Hall 322

Speaker: William Feldman

Abstract:  I will discuss some simplified models for the shape of liquid droplets on rough solid surfaces. These are elliptic free boundary problems with oscillatory coefficients. I will talk about the large scale effects of small scale surface roughness, e.g. contact line pinning, hysteresis, and formation of flat parts (facets) in the contact line, and how to understand these by homogenization theory.