Global and local minimizers of the Cahn-Hilliard functional over a parallelepiped: with and without constraint

DOI10.1007/S00032-011-0157-4zbMath1231.35014OpenAlexW2033704870MaRDI QIDQ640727

Arnaldo Simal do Nascimento, João Biesdorf

Publication date: 19 October 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-011-0157-4

zbMATH Keywords

symmetryparallelepipedlocal minimizersCahn-Hilliard functionalgeometric profile

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems
• Minimizing sequences selected via singular perturbations, and their pattern formation
• The gradient theory of phase transitions and the minimal interface criterion
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• On the structure of equilibrium phase transitions within the gradient theory of fluids
• Local minimisers and singular perturbations
• Exixtance of equilibria for the chn-hilliard equation via local minimizers of the perimeter

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