The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis

Zheng, 1986, Asymptotic behaviour of the solution to the Cahn–Hilliard eqvation, Applic. Anal., 23, 165, 10.1080/00036818608839639

Visintin, 1989, Mathematical Models for Phase Change Problems, I.S.N.M. 88

Massari, 1984, Minimal Surfaces of Codimension One

10.1007/BF00263040

Gunton, 1983, Phase Transitions and Critical Phenomena Edition

10.1007/BF00280031

10.1103/PhysRevA.38.434

10.1080/03605308908820597

10.1007/BF00251427

Elliott, 1989, Mathematical Models for Phase Change Problems, I.S.N.M., 88

Témam, 1977, Navier–Stokes Equations

Fleming, 1960, An integral formula for total gradient variation, Arch. Rat., 11, 218

10.1016/0001-6160(71)90127-1

Federer, 1968, Geometric Measure Theory

Novick-Cohen, 1984, Nonlinear aspects of the Cahn–Hilliard equation, Physica, 10, 277

10.1007/978-1-4684-0313-8

Van, 1893, The thermodynamic theory of capillarity flow under the hypothesis of a continuous variation of density, Verhandel/Konink. Akad. Weten., 1

Visintin A. 1984 Stefan Problem with Surface Tension (Technical Report no. 424, Instituto di Analisi Numerica, Pavia, Italy).

10.1070/PU1979v022n06ABEH005571

10.1007/BF00251230

Cahn J. W. & Hilliard J. E. 1958 Free energy of a non-uniform system I. Interfacial free energy. J. Chem. Phys., 258–267.

Birkhoff, 1959, Ordinary Differential Equations

10.1007/BF00250724

10.1016/0001-6160(61)90182-1

10.1179/mst.1990.6.3.273

Elliott C. M. & Luckhaus S. 1990 Preprint.

10.1007/BF00251803

Von Wahl, 1985, On the Cahn–Hilliard equation u′ + Δ2u — Δf(u) = 0, Delft Progress Report, 10, 291

10.1007/978-1-4684-9486-0

Grisvard, 1985, Elliptic Problems in Non smooth Domains

Lions, 1969, Quelques méthods de resolution des problèmes aux limit nonlinéaires