Gradient theory of phase transitions with boundary contact energy
Annales de l'I.H.P. Analyse non linéaire (1987)
- Volume: 4, Issue: 5, page 487-512
- ISSN: 0294-1449
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topModica, Luciano. "Gradient theory of phase transitions with boundary contact energy." Annales de l'I.H.P. Analyse non linéaire 4.5 (1987): 487-512. <http://eudml.org/doc/78141>.
@article{Modica1987,
author = {Modica, Luciano},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {van der Waals-Cahn-Hilliard theory; phase transitions; asymptotic behavior; limit solution; liquid-drop problem},
language = {eng},
number = {5},
pages = {487-512},
publisher = {Gauthier-Villars},
title = {Gradient theory of phase transitions with boundary contact energy},
url = {http://eudml.org/doc/78141},
volume = {4},
year = {1987},
}
TY - JOUR
AU - Modica, Luciano
TI - Gradient theory of phase transitions with boundary contact energy
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1987
PB - Gauthier-Villars
VL - 4
IS - 5
SP - 487
EP - 512
LA - eng
KW - van der Waals-Cahn-Hilliard theory; phase transitions; asymptotic behavior; limit solution; liquid-drop problem
UR - http://eudml.org/doc/78141
ER -
References
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- [5] E. Giusti, The Equilibrium Configuration of Liquid Drops, J. Reine Angew. Math., Vol. 331, 1981, pp. 53-63. Zbl0438.76078MR597979
- [6] E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Birkhäuser Verlag, Basel, Boston, Stuttgart, 1984. Zbl0545.49018MR775682
- [7] E. Gonzalez, U. Massari and I. Tamanini, On the Regularity of Boundaries of Sets Minimizing Perimeter with a Volume Constraint, Indiana Univ. Math. J., Vol. 32, 1983, pp. 25-37. Zbl0486.49024MR684753
- [8] M.E. Gurtin, Some Results and Conjectures in the Gradient Theory of Phase Transitions, Institute for Mathematics and Its Applications, University of Minnesota, Preprint No. 156, 1985. MR870014
- [9] M.E. Gurtin and H. Matano, On the Structure of Equilibrium Phase Transitions within the Gradient Theory of Fluids (to appear). MR950604
- [10] L. Modica, Gradient Theory of Phase Transitions and Minimal Interface Criterion, Arch. Rat. Mech. Anal., Vol. 98, 1987, pp. 123-142. Zbl0616.76004MR866718
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- Michelle Schatzman, Asymmetric heteroclinic double layers
- Alessandro Turco, François Alouges, Antonio DeSimone, Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model
- Bernardo Galvão-Sousa, Higher-order phase transitions with line-tension effect
- Bernardo Galvão-Sousa, Higher-order phase transitions with line-tension effect
- Giovanni Bellettini, Maurizio Paolini, Claudio Verdi, Convex approximations of functionals with curvature
- A. Visintin, Introduction to the models of phase transitions
- Ľubomír Baňas, Robert Nürnberg, estimates for the Cahn–Hilliard equation with obstacle free energy
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