Gradient theory of phase transitions with boundary contact energy
Modica, Luciano
Annales de l'I.H.P. Analyse non linéaire, Tome 4 (1987), p. 487-512 / Harvested from Numdam
@article{AIHPC_1987__4_5_487_0,
     author = {Modica, Luciano},
     title = {Gradient theory of phase transitions with boundary contact energy},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {4},
     year = {1987},
     pages = {487-512},
     mrnumber = {921549},
     zbl = {0642.49009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_1987__4_5_487_0}
}
Modica, Luciano. Gradient theory of phase transitions with boundary contact energy. Annales de l'I.H.P. Analyse non linéaire, Tome 4 (1987) pp. 487-512. http://gdmltest.u-ga.fr/item/AIHPC_1987__4_5_487_0/

[1] G. Anzellotti and M. Giaquinta, Funzioni BV e tracce, Rend. Sem. Mat. Univ. Padova, Vol. 60, 1978, pp. 1-22. | Numdam | MR 555952 | Zbl 0432.46031

[2] J.W. Cahn, Critical Point Wetting, J. Chem. Phys., Vol. 66, 1977, pp. 3667-3672.

[3] J.W. Cahn and R.B. Heady, Experimental Test of Classical Nucleation Theory in a Liquid-Liquid Miscibility Gap System, J. Chem. Phys., Vol. 58, 1973, pp. 896-910.

[4] G. Dal MASO and L. MODICA, Nonlinear Stochastic Homogenization, Ann. Mat. Pura Appl., (4), Vol. 144, 1986, pp. 347-389. | MR 870884 | Zbl 0607.49010

[5] E. Giusti, The Equilibrium Configuration of Liquid Drops, J. Reine Angew. Math., Vol. 331, 1981, pp. 53-63. | MR 597979 | Zbl 0438.76078

[6] E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Birkhäuser Verlag, Basel, Boston, Stuttgart, 1984. | MR 775682 | Zbl 0545.49018

[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. | MR 684753 | Zbl 0486.49024

[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. | MR 870014 | Zbl 0634.49019

[9] M.E. Gurtin and H. Matano, On the Structure of Equilibrium Phase Transitions within the Gradient Theory of Fluids (to appear). | MR 950604 | Zbl 0665.76120

[10] L. Modica, Gradient Theory of Phase Transitions and Minimal Interface Criterion, Arch. Rat. Mech. Anal., Vol. 98, 1987, pp. 123-142. | MR 866718 | Zbl 0616.76004