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 analytically solve the stationary problem and deduce the existence of so-called compactons, namely, connections on a finite interval between the two phases. The dynamics problem is numerically solved and compacton formation is described.

Compacton formation under Allen–Cahn dynamics / Cirillo, Emilio Nicola Maria; Ianiro, Nicoletta; Sciarra, Giulio. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. - ISSN 1364-5021. - STAMPA. - 472:2188(2016).

Compacton formation under Allen–Cahn dynamics

CIRILLO, Emilio Nicola Maria
;
IANIRO, Nicoletta
;
SCIARRA, Giulio
2016

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 analytically solve the stationary problem and deduce the existence of so-called compactons, namely, connections on a finite interval between the two phases. The dynamics problem is numerically solved and compacton formation is described.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/867880
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