3 papers
math.AP2025
The pinning effect of dilute defects
William M Feldman, Inwon C Kim
We consider the Bernoulli free boundary problem with ``periodic defects", or a periodic array of compactly supported inhomogeneities. First we study the problem with a single defec…
math.AP2024
An obstacle approach to rate independent droplet evolution
William M Feldman, Inwon C Kim, Norbert Požár
We consider a toy model of rate independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We introduce a notion…
math.AP2023
On the geometry of rate independent droplet evolution
William M Feldman, Inwon C. Kim, Norbert Požár
We introduce a toy model for rate-independent droplet motion on a surface with contact angle hysteresis based on the one-phase Bernoulli free boundary problem. We consider a notion…