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math.AP2020
Anisotropic Surface Tensions for Phase Transitions in Periodic Media
Rustum Choksi, Irene Fonseca, Jessica Lin +1
This paper establishes bounds on the homogenized surface tension for a heterogeneous Allen-Cahn energy functional in a periodic medium. The approach is based on relating the homoge…
math.AP2020
Homogenization of quasi-crystalline functionals via two-scale-cut-and-project convergence
Rita Ferreira, Irene Fonseca, Raghavendra Venkatraman
We consider a homogenization problem associated with quasi-crystalline multiple integrals of the form \begin{equation*} \begin{aligned} u_\varepsilon\in L^p(Ω;\mathbb{R}^d) \mapsto…