We provide a rigorous mathematical framework to establish the limit of a nonlocal model of
cell-cell adhesion system to a local model. When the parameter of the nonlocality goes to 0 …

We study``nonlocal diffusion equations''of the form\[\partial_ {t}\frac {d\rho_ {t}}{d\pi}(x)+\int_
{X}\left (\frac {d\rho_ {t}}{d\pi}(x)-\frac {d\rho_ {t}}{d\pi}(y)\right)\eta (x, y) d\pi (y)= 0\qquad …

We study Cahn-Hilliard type equations, an equation that was introduced to describe phase
separation in multi-component systems. The results obtained in this work have been …