Capillary drops on a rough surface
Publication
, Journal Article
Mellet, A; Nolen, J
Published in: Interfaces and Free Boundaries
2012
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.
Duke Scholars
Published In
Interfaces and Free Boundaries
DOI
ISSN
1463-9963
Publication Date
2012
Volume
14
Issue
2
Start / End Page
167 / 184
Related Subject Headings
- Applied Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Mellet, A., & Nolen, J. (2012). Capillary drops on a rough surface. Interfaces and Free Boundaries, 14(2), 167–184. https://doi.org/10.4171/IFB/278
Mellet, A., and J. Nolen. “Capillary drops on a rough surface.” Interfaces and Free Boundaries 14, no. 2 (2012): 167–84. https://doi.org/10.4171/IFB/278.
Mellet A, Nolen J. Capillary drops on a rough surface. Interfaces and Free Boundaries. 2012;14(2):167–84.
Mellet, A., and J. Nolen. “Capillary drops on a rough surface.” Interfaces and Free Boundaries, vol. 14, no. 2, 2012, pp. 167–84. Scival, doi:10.4171/IFB/278.
Mellet A, Nolen J. Capillary drops on a rough surface. Interfaces and Free Boundaries. 2012;14(2):167–184.
Published In
Interfaces and Free Boundaries
DOI
ISSN
1463-9963
Publication Date
2012
Volume
14
Issue
2
Start / End Page
167 / 184
Related Subject Headings
- Applied Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics