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arXiv · 1602.08445

Compacton formation under Allen--Cahn dynamics

Emilio N. M. Cirillo·Nicoletta Ianiro·Giulio Sciarra
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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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Emilio N. M. Cirillo, Nicoletta Ianiro, Giulio Sciarra. 2016-02-25. Compacton formation under Allen--Cahn dynamics. https://doi.org/10.1098/rspa.2015.0852

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