Peter S. Morfe
I'm a sixth-year math PhD student working under P.E. Souganidis.
Research interests: elliptic and parabolic partial differential equations, homogenization, calculus of variations
Publications and Preprints
Comparison principles for second order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms
(with P.E. Souganidis)
Hamilton-Jacobi scaling limits of Pareto peeling in 2D
(with A. Bou-Rabee)
The occurence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media
(with W.M. Feldman)
On the homogenization of second order level set PDE in periodic media
Homogenization of the Allen-Cahn Equation with Periodic Mobility
Calc. Var. Partial Differ. Equ.
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit
Arch. Ration. Mech. Anal.
Surface Tension and Γ-Convergence of Van der Waals-Cahn-Hilliard Phase Transitions in Stationary Ergodic Media
J. Stat. Phys.
181 (2020): 2225-2256.
Convergence and Rates for Hamilton-Jacobi Equations with Kirchoff Junction Conditions
NoDEA Nonlinear Differential Equations Appl.
27-10 (2020): 1-69.
Limiting distributions for countable state topological Markov chains with holes
(with M. Demers, C.J. Ianzano, P. Mayer, and E.C. Yoo)
Discrete and Cont. Dynam. Sys.
37-1 (2017): 105-130.