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math.AP2025
The pinning effect of dilute defects
William M Feldman, Inwon C Kim
We consider the Bernoulli free boundary problem with ``defects", inhomogeneities in the coefficients of compact support. When the defects are small and arrayed periodically there e…
math.AP2024
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…
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…