Instability of spatially periodic patterns due to a zero mode in the phase-field crystal equation

DOI10.1016/j.physd.2008.06.011zbMath1153.80346OpenAlexW2025633288MaRDI QIDQ1000680

H. Ohnogi, Yasuhiro Shiwa

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.06.011

zbMATH Keywords

phase-field crystal equationzero modestability diagramlamella and hexagon patterns

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Stefan problems, phase changes, etc. (80A22) Hydrodynamic stability (76E99)

Related Items (4)

Phase-field crystal equation with memory ⋮ Amplitude modulation for the Swift-Hohenberg and Kuramoto-Sivashinski equations ⋮ Energy stable and convergent finite element schemes for the modified phase field crystal equation ⋮ Robust exponential attractors for the modified phase-field crystal equation

Cites Work

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• Instability and localisation of patterns due to a conserved quantity
• Pattern formation in the presence of symmetries
• Pattern formation with a conservation law
• Pattern formation outside of equilibrium

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