Sufficient conditions for global minimality of metastable states in a class of non-convex functionals: a simple approach via quadratic lower bounds

DOI10.1007/s00332-015-9234-0zbMath1317.49023OpenAlexW2001324112MaRDI QIDQ2348239

Rustum Choksi, David Shirokoff, Jean-Christophe Nave

Publication date: 11 June 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-015-9234-0

zbMATH Keywords

metastable stateglobal minimizersdouble-well potentialOhta-Kawasaki functionalnon-convex energy functionalsphase-field crystal functional

Mathematics Subject Classification ID

Related Items (14)

Microscopic patterns in the 2D phase-field-crystal model ⋮ Efficient numerical scheme for a penalized Allen-Cahn type Ohta-Kawasaki phase-field model for diblock copolymers ⋮ Validation of the bifurcation diagram in the 2D Ohta–Kawasaki problem ⋮ On the optimality of stripes in a variational model with non-local interactions ⋮ Spatially Localized Self-Assembly Driven by Electrically Charged Phase Separation ⋮ Dynamics of waves and patterns. Abstracts from the workshop held August 8--14, 2021 (hybrid meeting) ⋮ Approximate Global Minimizers to Pairwise Interaction Problems via Convex Relaxation ⋮ Rigorously Computing Symmetric Stationary States of the Ohta--Kawasaki Problem in Three Dimensions ⋮ Half-integer point defects in the \(Q\)-tensor theory of nematic liquid crystals ⋮ Emergence of nontrivial minimizers for the three-dimensional Ohta-Kawasaki energy ⋮ Thermodynamically consistent algorithms for models of diblock copolymer solutions interacting with electric and magnetic fields ⋮ Dimension reduction and optimality of the uniform state in a phase-field-crystal model involving a higher-order functional ⋮ A Globally Convergent Modified Newton Method for the Direct Minimization of the Ohta--Kawasaki Energy with Application to the Directed Self-Assembly of Diblock Copolymers ⋮ Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem

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