2 citations · 3 across the 7 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.AP2020
Homogenization of the Allen-Cahn equation with periodic mobility
Peter S. Morfe
We analyze the sharp interface limit for the Allen-Cahn equation with an anisotropic, spatially periodic mobility coefficient and prove that the large-scale behavior of interfaces…
math.AP2020★ 2 cited
On the homogenization of second order level set PDE in periodic media
Peter S. Morfe
This paper analyzes two classes of second order level set PDE in periodic media in the parabolic scaling. First, we study fully nonlinear geometric operators under general assumpti…
math.AP2020
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit
Peter Morfe
This paper investigates the connection between the effective, large scale behavior of Allen-Cahn energy functionals in periodic media and the sharp interface limit of the associate…