TY - JOUR
T1 - Singular perturbation models in phase transitions for second order materials
JF - Indiana Univ. Math. J. 60 (2011) 367-409
Y1 - 2011
A1 - Milena Chermisi
A1 - Gianni Dal Maso
A1 - Irene Fonseca
A1 - Giovanni Leoni
AB - 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.
PB - Indiana University
UR - http://hdl.handle.net/1963/3858
U1 - 851
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -