Ji, Hangjie; Witelski, Thomas P. Coarsening of thin films with weak condensation. (English) Zbl 07821807 SIAM J. Appl. Math. 84, No. 2, 362-386 (2024). Reviewer: Bastian Hilder (München) MSC: 76A20 76T10 76D08 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Shuhan; Hong, Qi; Gong, Yuezheng An extended quadratic auxiliary variable method for the singular Lennard-Jones droplet liquid film model. (English) Zbl 1530.65099 Appl. Math. Lett. 149, Article ID 108933, 7 p. (2024). MSC: 65M06 65N06 65N15 76A20 76T10 × Cite Format Result Cite Review PDF Full Text: DOI
Durastanti, Riccardo; Giacomelli, Lorenzo Thin-film equations with singular potentials: an alternative solution to the contact-line paradox. (English) Zbl 1529.35121 J. Nonlinear Sci. 34, No. 1, Paper No. 11, 31 p. (2024). MSC: 35C07 34C60 34E05 35G20 35K65 35Q35 76A20 76D08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Durastanti, Riccardo; Giacomelli, Lorenzo Spreading equilibria under mildly singular potentials: pancakes versus droplets. (English) Zbl 1503.35158 J. Nonlinear Sci. 32, No. 5, Paper No. 71, 61 p. (2022). MSC: 35Q35 34C60 34E10 35J91 49J05 49J10 76A20 76D03 76D08 35R35 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Zhang, Juan; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. (English) Zbl 1468.65119 SIAM J. Sci. Comput. 43, No. 2, A1248-A1272 (2021). MSC: 65M06 65M12 76A20 35K35 35K55 49J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Witelski, Thomas P. Nonlinear dynamics of dewetting thin films. (English) Zbl 1484.76015 AIMS Math. 5, No. 5, 4229-4259 (2020). MSC: 76A20 76E17 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Li, Zhenbang The existence of weak solutions for a nonlocal Cahn-Hilliard equation with degenerate mobility. (English) Zbl 1427.35143 Indian J. Pure Appl. Math. 50, No. 2, 511-529 (2019). MSC: 35K65 35Q35 35D30 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Alizadeh Pahlavan, A.; Cueto-Felgueroso, L.; Hosoi, A. E.; Mckinley, G. H.; Juanes, R. Thin films in partial wetting: stability, dewetting and coarsening. (English) Zbl 1404.76022 J. Fluid Mech. 845, 642-681 (2018). MSC: 76A20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cinti, Eleonora; Otto, Felix Interpolation inequalities in pattern formation. (English) Zbl 1350.49071 J. Funct. Anal. 271, No. 11, 3348-3392 (2016). MSC: 49Q20 49J40 47J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elsey, Matt; Slepčev, Dejan Mean-curvature flow of Voronoi diagrams. (English) Zbl 1350.53081 J. Nonlinear Sci. 25, No. 1, 59-85 (2015). MSC: 53C44 65D18 74N15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kitavtsev, Georgy Coarsening rates for the dynamics of slipping droplets. (English) Zbl 1391.76125 Eur. J. Appl. Math. 25, No. 1, 83-115 (2014). MSC: 76D08 76A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novick-Cohen, Amy Upper bounds for coarsening for the deep quench obstacle problem. (English) Zbl 1202.82029 J. Stat. Phys. 141, No. 1, 142-157 (2010). MSC: 82B26 35K55 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Kitavtsev, Georgy; Wagner, Barbara Coarsening dynamics of slipping droplets. (English) Zbl 1188.76191 J. Eng. Math. 66, No. 1-3, 271-292 (2010). MSC: 76A20 76D08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gratton, Michael B.; Witelski, Thomas P. Transient and self-similar dynamics in thin film coarsening. (English) Zbl 1183.37142 Physica D 238, No. 23-24, 2380-2394 (2009). MSC: 37N10 76A20 × Cite Format Result Cite Review PDF Full Text: DOI
Glasner, Karl; Choksi, Rustum Coarsening and self-organization in dilute diblock copolymer melts and mixtures. (English) Zbl 1167.82378 Physica D 238, No. 14, 1241-1255 (2009). MSC: 82D60 82C22 × Cite Format Result Cite Review PDF Full Text: DOI
Glasner, Karl; Otto, Felix; Rump, Tobias; Slepčev, Dejan Ostwald ripening of droplets: The role of migration. (English) Zbl 1155.76057 Eur. J. Appl. Math. 20, No. 1, 1-67 (2009). MSC: 76T10 × Cite Format Result Cite Review PDF Full Text: DOI
Giacomelli, Lorenzo Nonlinear higher-order boundary value problems describing thin viscous flows near edges. (English) Zbl 1184.76618 J. Math. Anal. Appl. 345, No. 2, 632-649 (2008). Reviewer: Elena Gavrilova (Sofia) MSC: 76A20 76D08 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI