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We develop a rigorous numerical method to compare local minimizers of the Ohta–Kawasaki functional in two dimensions. In particular, we validate the phase diagram identifying regions of parameter space where… Click to show full abstract
We develop a rigorous numerical method to compare local minimizers of the Ohta–Kawasaki functional in two dimensions. In particular, we validate the phase diagram identifying regions of parameter space where rolls are favorable, where hexagonally packed spots have lowest energy and finally where the constant mixed state does. More generally, we present a method to rigorously determine such features in problems where optimal domain sizes are not known a priori.
Keywords:
ohta kawasaki;
diagram ohta;
bifurcation diagram;
diagram;
validation bifurcation;
kawasaki problem
Journal Title: Nonlinearity
Year Published: 2017
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Journal Title: Nonlinearity
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!