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.
Stability of the stationary solutions of the Allen–Cahn equation with non-constant stiffness / Butta', P.; Cirillo, E. N. M.; Sciarra, G.. - In: WAVE MOTION. - ISSN 0165-2125. - 98:(2020). [10.1016/j.wavemoti.2020.102641]
Stability of the stationary solutions of the Allen–Cahn equation with non-constant stiffness
BUTTA' P.;Cirillo E. N. M.;Sciarra G.
2020
Abstract
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.File allegati a questo prodotto
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