This work is licensed under a
Creative Commons Attribution 4.0 International License
 R.F. Almgren, Second-order phase field asymptotics for unequal conductivities, SIAM J. Appl. Math. 59(6)(1999) 2086-2107.
 G. Caginalp, An analysis of a phase field model of a free boundary, Arch. Rat. Mech. Anal. 92 (1986) 205-245.
 J.W. Cahn, Critical point wetting, J. Chem. Phys. 66 (1977) 3667-3672.
 S.I. Ei, M.H. Sato, E. Yanagida, Stability of Stationary Interfaces with Contact Angle in a Generalized Mean Curvature Flow, American Journal of Mathematics. 118(3) (1996) 653-687.
 P.C. Fife, Dynamics of internal layers and diffusive interfaces, SIAM, Philadephia, PA, (1988).
 G. Fix, Phase field methods for free boundary problems, in: Free Boundary Problems, A. Fasano and M. Primicerio, eds., Pitman, London, 1983, pp.580-589.
 B.I. Halperin, P.C. Hohenberg, S. Ma, Renormalization Group Methods for Critical Dynamics: I. Recursion Relations and Effects of Energy Conservation, Phys. Rev. B. 10 (1974) 139-153.
 A. Karma, W.J. Rappel, Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics, Phys. Rev. E. 53 (1996) R3017-R3020.
 A. Karma, W. J. Rappel, Quantitative phase-field modeling of dendritic growth in two and three dimensions, Phys. Rev. E. 57 (1998) 4323-4349.
 M. Katsoulakis, G. T. Kossioris, F. Reitich, Generalized Motion by Mean Curvature with Neumann Conditions and the Allen-Cahn Model for Phase Transitions, The Journal of Geometric Analysis, 5(2)(1995) 255-279.
 J.S. Langer, Models of pattern formation in first-order phase transitions, in: Directions in Condensed Matter Physics, World Science Publishers, 1986, pp.164-186.
 G.B. McFadden, A.A. Wheeler, D. M. Anderson, Thin interface asymptotics for an energy/entropy approach to phase-field models with unequal conductivities, Physica D. 144 (2000) 154-168.
 M. Plapp, Remarks on some open problems in phase-field modelling of solidification, Philosophical Magazine. 91 (2011) 25-44.
 T.Z. Qian, X.P. Wang, P. Sheng, Generalized Navier boundary condition for the moving contact line, Comm. Math. Sci. 1 (2003) 333-341.
 T.Z. Qian, X.P. Wang, P. Sheng, Molecular scale contact line hydrodynamics of immiscible flows, Physical Review E. 68 (2003) 016306.
 N.K. Simha, K. Bhattacharya, Edge effects on the propagation of phase boundaries, Materials Science and Engineering A. 273-275 (1999) 241-244.
 I. Singer-Loginova, H.M. Singer, The phase field technique for modeling multiphase materials, Rep. Prog. Phys. 71 (2008) 106501.