3 papers
math.AP2018
A Note on Homogenization Effects on Phase Transition Problems
Adrian Hagerty
In fluid-fluid phase transitions problems featuring small scale heterogeneity, we see that when the scale heterogeneity is sufficiently small, the periodic potential function $W(x,…
math.AP2018
A homogenization result in the gradient theory of phase transitions
Riccardo Cristoferi, Irene Fonseca, Adrian Hagerty +1
A variational model in the context of the gradient theory for fluid-fluid phase transitions with small scale heterogeneities is studied. In particular, the case where the scale $\v…
math.AP2018
Relaxation of Functionals in the Space of Vector-Valued Functions of Bounded Hessian
Adrian Hagerty
In this paper it is shown that if is an open, bounded Lipschitz set, and if is a conti…