Stationary Solutions for the Cahn — Hilliard Equation Coupled with Neumann Boundary Conditions

DOI10.14529/mmp160206zbMath1349.35218OpenAlexW2463125526MaRDI QIDQ2833563

Igor B. Krasnyuk, Marina Chugunova, Roman M. Taranets

Publication date: 18 November 2016

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14529/mmp160206

zbMATH Keywords

Neumann boundary conditionssteady statesthe Cahn-Hilliard equation

Mathematics Subject Classification ID

Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

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Cites Work

• Structured phase transitions on a finite interval
• Global bifurcation of steady-state solutions
• The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor
• Steady states of the one-dimensional Cahn–Hilliard equation
• Counting stationary solutions of the Cahn–Hilliard equation by transversality arguments