@article {2014,
	title = {Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional},
	year = {2014},
	note = {This article is composed if 33 pages and recorded in PDF format},
	publisher = {SISSA},
	abstract = {The asymptotic behavior of an anisotropic Cahn-Hilliard functional with prescribed mass and Dirichlet boundary condition is studied when the parameter $\varepsilon$ that determines the width of the transition layers tends to zero. The  double-well potential is assumed to be even and equal to $|s-1|^\beta$ near $s=1$, with  $1<\beta<2$. The first order term  in the asymptotic development by $\Gamma$-convergence is well-known, and is related to a suitable anisotropic perimeter of the interface. Here it is shown that, under these assumptions, the second order term is zero, which gives an estimate on the rate of convergence of the minimum values.},
	keywords = {Gamma-convergence, Cahn-Hilliard functional, phase transitions},
	url = {http://hdl.handle.net/1963/7390},
	author = {Gianni Dal Maso and Irene Fonseca and Giovanni Leoni}
}
@article {2011,
	title = {Singular perturbation models in phase transitions for second order materials},
	journal = {Indiana Univ. Math. J. 60 (2011) 367-409},
	number = {SISSA;20/2010/M},
	year = {2011},
	publisher = {Indiana University},
	abstract = {A variational model proposed in the physics literature to describe the onset of pattern formation in two-component bilayer membranes and amphiphilic monolayers leads to the analysis of a Ginzburg-Landau type energy with a negative term depending on the first derivative of the phase function. Scaling arguments motivate the study of the family of second order singular perturbed energies Fe having a negative term depending on the first derivative of the phase function. Here, the asymptotic behavior of {Fe} is studied using G-convergence techniques. In particular, compactness results and an integral representation of the limit energy are obtained.},
	doi = {10.1512/iumj.2011.60.4346},
	url = {http://hdl.handle.net/1963/3858},
	author = {Milena Chermisi and Gianni Dal Maso and Irene Fonseca and Giovanni Leoni}
}
@article {2007,
	title = {Surfactants in Foam Stability: A Phase-Field Model},
	journal = {Arch. Rational Mech. Anal. 183 (2007) 411-456},
	year = {2007},
	abstract = {The role of surfactants in stabilizing the formation of bubbles in foams is studied using a phase-field model. The analysis is centered on a van der Walls-Cahn-Hilliard-type energy with an added term accounting for the interplay between the presence of a surfactant density and the creation of interfaces. In particular, it is concluded that the surfactant segregates to the interfaces, and that the prescriptionof the distribution of surfactant will dictate the locus of interfaces, what is in agreement with experimentation.},
	doi = {10.1007/s00205-006-0012-x},
	url = {http://hdl.handle.net/1963/2035},
	author = {Irene Fonseca and Massimiliano Morini and Valeriy Slastikov}
}
