MenuMathematical Physics and Harmonic Analysis Seminar
Date: October 6, 2017
Time: 1:50PM - 2:50PM
Location: BLOC 628
Speaker: Tom Vogel, Texas A&M University
Title: Stability of Delaunay Surface Solutions to Capillary Problems
Abstract: Capillary surfaces arise from minimizing surface energy subject to a volume constraint. Capillary problems with rotational symmetry often have rotationally symmetric surfaces of constant mean curvature (Delaunay surfaces) as stationary solutions. Using eigenvalue methods, stability of Delaunay surfaces solutions can be compared across different capillary problems. In particular, the problem of a liquid bridge between parallel planes has stability implications for bridges between solid balls and toroidal drops inside circular cylinders.
