Minimality via second variation for microphase separation of diblock copolymer melts
2017 ◽
Vol 2017
(729)
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AbstractWe consider a non-local isoperimetric problem arising as the sharp interface limit of the Ohta–Kawasaki free energy introduced to model microphase separation of diblock copolymers. We perform a second order variational analysis that allows us to provide a quantitative second order minimality condition. We show that critical configurations with positive second variation are indeed strict local minimizers of the problem. Moreover, we provide, via a suitable quantitative inequality of isoperimetric type, an estimate of the deviation from minimality for configurations close to the minimum in the
2021 ◽
Vol 11
(2)
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pp. 234-254
Keyword(s):
Keyword(s):
2012 ◽
Vol 364
(5)
◽
pp. 2443-2460
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2021 ◽
2019 ◽
Vol 19
(4)
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pp. 1303-1358
Keyword(s):