Compacton formation under Allen–Cahn dynamics

Compacton formation under Allen–Cahn dynamics

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...

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2016-04, Vol.472 (2188), p.1-15
Hauptverfasser: Cirillo, E. N. M., Ianiro, N., Sciarra, G.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Capillary tubes
Coefficients
Evolution equations
Liquids
Mathematical minima
Phase portrait
Steepest descent method
Wetting
Zero
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Zusammenfassung: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.
ISSN:1364-5021