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math.AP2024
Minimal periodic foams with fixed inradius
Annalisa Cesaroni, Matteo Novaga
In this note we show existence and regularity of periodic tilings of the Euclidean space into equal cells containing a ball of fixed radius, which minimize either the classical or…
math.AP2024
Lattice tilings with minimal perimeter and unequal volumes
Francesco Nobili, Matteo Novaga
We study periodic tessellations of the Euclidean space with unequal cells arising from the minimization of perimeter functionals. Existence results and qualitative properties of mi…
math.AP2024
Time-fractional Allen-Cahn equations versus powers of the mean curvature
Serena Dipierro, Matteo Novaga, Enrico Valdinoci
We show by a formal asymptotic expansion that level sets of solutions of a time-fractional Allen-Cahn equation evolve by a geometric flow whose normal velocity is a positive power…