Xiao, Si; Xu, Xianmin; Zhang, Zhen Multiscale analysis for dynamic contact angle hysteresis on rough surfaces. (English) Zbl 1514.34099 Multiscale Model. Simul. 21, No. 1, 400-425 (2023). MSC: 34F05 37N10 76T99 PDFBibTeX XMLCite \textit{S. Xiao} et al., Multiscale Model. Simul. 21, No. 1, 400--425 (2023; Zbl 1514.34099) Full Text: DOI
Gao, Yuan; Liu, Jian-Guo Projection method for droplet dynamics on groove-textured surface with merging and splitting. (English) Zbl 1485.35433 SIAM J. Sci. Comput. 44, No. 2, B310-B338 (2022). MSC: 35R35 35K93 35K86 65K15 74A50 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{J.-G. Liu}, SIAM J. Sci. Comput. 44, No. 2, B310--B338 (2022; Zbl 1485.35433) Full Text: DOI
Gao, Yuan; Liu, Jian-Guo Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface. (English) Zbl 1486.35345 Interfaces Free Bound. 23, No. 1, 103-158 (2021). MSC: 35Q35 35K93 65M06 76T30 35R35 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{J.-G. Liu}, Interfaces Free Bound. 23, No. 1, 103--158 (2021; Zbl 1486.35345) Full Text: DOI arXiv
Feldman, William M. Limit shapes of local minimizers for the Alt-Caffarelli energy functional in inhomogeneous media. (English) Zbl 1466.35016 Arch. Ration. Mech. Anal. 240, No. 3, 1255-1322 (2021). MSC: 35B27 35B65 35R35 PDFBibTeX XMLCite \textit{W. M. Feldman}, Arch. Ration. Mech. Anal. 240, No. 3, 1255--1322 (2021; Zbl 1466.35016) Full Text: DOI arXiv
Kholmatov, Shokhrukh Yu.; Piovano, Paolo A unified model for stress-driven rearrangement instabilities. (English) Zbl 1443.49023 Arch. Ration. Mech. Anal. 238, No. 1, 415-488 (2020). MSC: 49J45 74R10 49Q20 PDFBibTeX XMLCite \textit{S. Yu. Kholmatov} and \textit{P. Piovano}, Arch. Ration. Mech. Anal. 238, No. 1, 415--488 (2020; Zbl 1443.49023) Full Text: DOI arXiv
Xu, Xianmin; Zhao, Yinyu; Wang, Xiaoping Analysis for contact angle hysteresis on rough surfaces by a phase-field model with a relaxed boundary condition. (English) Zbl 1459.76047 SIAM J. Appl. Math. 79, No. 6, 2551-2568 (2019). MSC: 76D45 76B45 76M45 PDFBibTeX XMLCite \textit{X. Xu} et al., SIAM J. Appl. Math. 79, No. 6, 2551--2568 (2019; Zbl 1459.76047) Full Text: DOI
Wolansky, Gershon Contact angles of liquid drops subjected to a rough boundary. (English) Zbl 1422.49045 SIAM J. Math. Anal. 51, No. 3, 2286-2305 (2019). MSC: 49S05 76T10 49Q99 PDFBibTeX XMLCite \textit{G. Wolansky}, SIAM J. Math. Anal. 51, No. 3, 2286--2305 (2019; Zbl 1422.49045) Full Text: DOI arXiv
Feldman, William M.; Smart, Charles K. A free boundary problem with facets. (English) Zbl 1412.35079 Arch. Ration. Mech. Anal. 232, No. 1, 389-435 (2019). MSC: 35J05 35J20 PDFBibTeX XMLCite \textit{W. M. Feldman} and \textit{C. K. Smart}, Arch. Ration. Mech. Anal. 232, No. 1, 389--435 (2019; Zbl 1412.35079) Full Text: DOI arXiv
Leonardi, Gian Paolo; Saracco, Giorgio The prescribed mean curvature equation in weakly regular domains. (English) Zbl 1391.49041 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 2, Paper No. 9, 29 p. (2018). MSC: 49K20 35J93 49Q20 PDFBibTeX XMLCite \textit{G. P. Leonardi} and \textit{G. Saracco}, NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 2, Paper No. 9, 29 p. (2018; Zbl 1391.49041) Full Text: DOI arXiv
Maggi, F.; Mihaila, C. On the shape of capillarity droplets in a container. (English) Zbl 1356.49077 Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 122, 42 p. (2016). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 49S05 PDFBibTeX XMLCite \textit{F. Maggi} and \textit{C. Mihaila}, Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 122, 42 p. (2016; Zbl 1356.49077) Full Text: DOI arXiv
Mellet, A. The thin film equation with non-zero contact angle: A singular perturbation approach. (English) Zbl 1323.35063 Commun. Partial Differ. Equations 40, No. 1, 1-39 (2015). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K25 35K65 35Q35 35R35 76D08 35B25 PDFBibTeX XMLCite \textit{A. Mellet}, Commun. Partial Differ. Equations 40, No. 1, 1--39 (2015; Zbl 1323.35063) Full Text: DOI
De Philippis, G.; Maggi, F. Regularity of free boundaries in anisotropic capillarity problems and the validity of Young’s law. (English) Zbl 1321.35158 Arch. Ration. Mech. Anal. 216, No. 2, 473-568 (2015). MSC: 35Q35 35R35 35B65 76D45 PDFBibTeX XMLCite \textit{G. De Philippis} and \textit{F. Maggi}, Arch. Ration. Mech. Anal. 216, No. 2, 473--568 (2015; Zbl 1321.35158) Full Text: DOI arXiv
Baer, Eric Minimizers of anisotropic surface tensions under gravity: higher dimensions via symmetrization. (English) Zbl 1321.76009 Arch. Ration. Mech. Anal. 215, No. 2, 531-578 (2015). MSC: 76B03 49J10 49Q20 76B45 76B75 PDFBibTeX XMLCite \textit{E. Baer}, Arch. Ration. Mech. Anal. 215, No. 2, 531--578 (2015; Zbl 1321.76009) Full Text: DOI arXiv
Kim, Inwon; Mellet, Antoine Liquid drops sliding down an inclined plane. (English) Zbl 1317.35299 Trans. Am. Math. Soc. 366, No. 11, 6119-6150 (2014). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35R35 35Q35 35H30 35A01 35A02 35B27 35B40 PDFBibTeX XMLCite \textit{I. Kim} and \textit{A. Mellet}, Trans. Am. Math. Soc. 366, No. 11, 6119--6150 (2014; Zbl 1317.35299) Full Text: DOI arXiv
Orcan-Ekmekci, Betul On the geometry and regularity of largest subsolutions for a free boundary problem in \(R^2\): elliptic case. (English) Zbl 1365.35231 Calc. Var. Partial Differ. Equ. 49, No. 3-4, 937-962 (2014). Reviewer: Adrian Muntean (Karlstad) MSC: 35R35 35D40 35R60 35B40 35B65 PDFBibTeX XMLCite \textit{B. Orcan-Ekmekci}, Calc. Var. Partial Differ. Equ. 49, No. 3--4, 937--962 (2014; Zbl 1365.35231) Full Text: DOI arXiv
Caffarelli, Luis The homogenization of surfaces and boundaries. (English) Zbl 1296.35030 Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 755-775 (2013). Reviewer: Adrian Muntean (Eindhoven) MSC: 35J15 35R60 35B27 PDFBibTeX XMLCite \textit{L. Caffarelli}, Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 755--775 (2013; Zbl 1296.35030) Full Text: DOI
Fedeli, Livio; Turco, Alessandro; DeSimone, Antonio Metastable equilibria of capillary drops on solid surfaces: a phase field approach. (English) Zbl 1272.76065 Contin. Mech. Thermodyn. 23, No. 5, 453-471 (2011). MSC: 76B45 76D45 PDFBibTeX XMLCite \textit{L. Fedeli} et al., Contin. Mech. Thermodyn. 23, No. 5, 453--471 (2011; Zbl 1272.76065) Full Text: DOI
Alberti, Giovanni; DeSimone, Antonio Quasistatic evolution of sessile drops and contact angle hysteresis. (English) Zbl 1276.76016 Arch. Ration. Mech. Anal. 202, No. 1, 295-348 (2011). Reviewer: Erich Miersemann (Leipzig) MSC: 76B45 76T99 49K20 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{A. DeSimone}, Arch. Ration. Mech. Anal. 202, No. 1, 295--348 (2011; Zbl 1276.76016) Full Text: DOI
Kim, Inwon C. Homogenization of a model problem on contact angle dynamics. (English) Zbl 1161.35312 Commun. Partial Differ. Equations 33, No. 7, 1235-1271 (2008). MSC: 35B27 35K55 PDFBibTeX XMLCite \textit{I. C. Kim}, Commun. Partial Differ. Equations 33, No. 7, 1235--1271 (2008; Zbl 1161.35312) Full Text: DOI