%0 Journal Article
%J Indiana Univ. Math. J. 60 (2011) 367-409
%D 2011
%T Singular perturbation models in phase transitions for second order materials
%A Milena Chermisi
%A Gianni Dal Maso
%A Irene Fonseca
%A Giovanni Leoni
%X 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.
%B Indiana Univ. Math. J. 60 (2011) 367-409
%I Indiana University
%G en_US
%U http://hdl.handle.net/1963/3858
%1 851
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-04-27T10:47:12Z\\r\\nNo. of bitstreams: 1\\r\\nCheDMaFonLeo_2010.pdf: 350746 bytes, checksum: b384a4d0b82dd9713e1849ad3ef6a2be (MD5)
%R 10.1512/iumj.2011.60.4346