Stability of the stationary solutions of the Allen–Cahn equation with non-constant stiffness

01 Pubblicazione su rivista
Butta' P., Cirillo E. N. M., Sciarra G.
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.

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