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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.AP2024
Minimizing movements solutions for a monotone model of droplet motion
Carson Collins, William M Feldman
We study the uniqueness and regularity of minimizing movements solutions of a droplet model in the case of piecewise monotone forcing. We show that such solutions evolve uniquely o…