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math.AP2026
A domain decomposition method for the directional contact angle hysteresis interval on doubly periodic rough surfaces
Zijie Lin, William M Feldman, Braxton Osting
We study wetting on a doubly periodic rough surface in three dimensions. Although the liquid-vapor interface meets the solid at the local Young's angle, microscale roughness can ca…
math.AP2026
Solutions of the Bernoulli one-phase problem with a defect
William M Feldman, Inwon C Kim
We study the far-field behavior of solutions of the one-phase Bernoulli free boundary problem in the exterior of a ball, and of entire solutions with a single compactly supported i…