تقرير
On a Quaternary Non-Local Isoperimetric Problem
| العنوان: | On a Quaternary Non-Local Isoperimetric Problem |
|---|---|
| المؤلفون: | Alama, Stanley, Bronsard, Lia, Lu, Xinyang, Wang, Chong |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | We study a two-dimensional quaternary inhibitory system. This free energy functional combines an interface energy favoring micro-domain growth with a Coulomb-type long range interaction energy which prevents micro-domains from unlimited spreading. Here we consider a limit in which three species are vanishingly small, but interactions are correspondingly large to maintain a nontrivial limit. In this limit two energy levels are distinguished: the highest order limit encodes information on the geometry of local structures as a three-component isoperimetric problem, while the second level describes the spatial distribution of components in global minimizers. Geometrical descriptions of limit configurations are derived. Comment: arXiv admin note: text overlap with arXiv:1912.08971 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.12504 |
| رقم الأكسشن: | edsarx.2307.12504 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |