A Variational Approach to Volume-constrained Membrane Motions

Wednesday, June 5, 2013 - 2:00pm - 2:30pm
Keller 3-180
Elliott Ginder (Hokkaido University)
We present on the use of minimizing movements for analyzing certain free boundary problems expressing the motion of liquid droplets and bubbles. The variational nature of our approach allows one to constrain the volume of each droplet, as well as to control the contact angles that each makes with obstacles. We will discuss the corresponding numerical methods and then show the results of these methods applied to both scalar and non-scalar motions.
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