Stability of the stationary solutions of the Allen–Cahn equation with non-constant stiffness
01 Pubblicazione su rivista
ISSN: 0165-2125
We study the solutions of a generalized Allen–Cahn equation deduced from a Landau energy functional, endowed with a non-constant higher order stiffness. We assume the stiffness to be a positive function of the field and we discuss the stability of the stationary solutions proving both linear and local non-linear stability.