Math @ Duke

Publications [#287355] of James H. Nolen
Papers Published
 Mellet, A; Nolen, J, Capillary drops on a rough surface,
Interfaces and Free Boundaries, vol. 14 no. 2
(2012),
pp. 167184, ISSN 14639963 [doi]
(last updated on 2018/10/23)
Abstract: We study liquid drops lying on a rough planar surface. The drops are minimizers of an energy functional that includes a random adhesion energy. We prove the existence of minimizers and the regularity of the free boundary. When the length scale of the randomly varying surface is small, we show that minimizers are close to spherical caps which are minimizers of an averaged energy functional. In particular, we give an error estimate that is algebraic in the scale parameter and holds with high probability. © European Mathematical Society 2012.


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