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math.AP2026
Slow motion for the time-fractional Allen-Cahn equation with linear and nonlinear diffusion
Davide Cusseddu, Raffaele Folino, Luis Fernando López Ríos
We study the slow motion of phase transition layers for a time-fractional Allen--Cahn equation with a Caputo time derivative of order . We show that the fractional memor…
q-bio.PE2026
On a phenotype-structured Shigesada--Kawasaki--Teramoto model: Turing instability and pattern selection under fast phenotype switching
Davide Cusseddu, Gaetana Gambino, Tommaso Lorenzi
The Shigesada-Kawasaki-Teramoto (SKT) model has become a classical modelling framework for studying spatial segregation and cross-diffusion-driven pattern formation in competing po…