Minimality via second variation for microphase separation of diblock copolymer melts
Julin, V., & Pisante, G. (2017). Minimality via second variation for microphase separation of diblock copolymer melts. Journal für die reine und angewandte Mathematik, 2017(729), 81-117. https://doi.org/10.1515/crelle-2014-0117
Julkaistu sarjassa
Journal für die reine und angewandte MathematikPäivämäärä
2017Tekijänoikeudet
© De Gruyter 2017. Published in this repository with the kind permission of the publisher.
2017:9 | 2018:27 | 2019:73 | 2020:65 | 2021:80 | 2022:50 | 2023:65 | 2024:72 | 2025:5
We 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 L1
-topology.
Julkaisija
Walter de Gruyter GmbH & Co. KGISSN Hae Julkaisufoorumista
0075-4102Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/26285671
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