Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation: Doc 328

Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation: Doc 328

We study a driven sixth-order Cahn-Hilliard type equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. Based on the Leray-Schauder fixed point theorem, we prove the existence of time-periodic solutions. MSC: 35B10, 35K55, 35K65.[PUBLICATION ABSTRA...

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Veröffentlicht in:Boundary value problems 2013-04, Vol.2013, p.1
Hauptverfasser: Liu, Changchun, Liu, Aibo, Tang, Hui
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
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Zusammenfassung:We study a driven sixth-order Cahn-Hilliard type equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. Based on the Leray-Schauder fixed point theorem, we prove the existence of time-periodic solutions. MSC: 35B10, 35K55, 35K65.[PUBLICATION ABSTRACT]
ISSN:1687-2762
1687-2770
DOI:10.1186/1687-2770-2013-73