most citedExponentially slow motion of interface layers for the one-dimensional Allen-Cahn equation with nonlinear phase-dependent diffusivity

7 citations · 7 across the 1 of their papers we have counts for

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math.AP2019★ 7 cited

Exponentially slow motion of interface layers for the one-dimensional Allen-Cahn equation with nonlinear phase-dependent diffusivity

Raffaele Folino, César Hernández Melo, Luis López Ríos +1

This paper considers a one-dimensional generalized Allen-Cahn equation of the form \[ u_t = \varepsilon^2 (D(u)u_x)_x - f(u), \] where is constant, is a po…