Raffaele Folino

Slow motion for the time-fractional Allen-Cahn equation with linear and nonlinear diffusion

We study the slow motion of phase transition layers for a time-fractional Allen--Cahn equation with a Caputo time derivative of order $\alpha\in(0,1)$. We show that the fractional memory preserves the distinction between exponentially and algebraically slow dynamics associated with non-degenerate and degenerate potenti...