Long-time Confinement near Special Vortex Crystals

التفاصيل البيبلوغرافية
العنوان: Long-time Confinement near Special Vortex Crystals
المؤلفون: Donati, Martin
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs
الوصف: In this paper, we control the growth of the support of particular solutions to the Euler two-dimensional equations, whose vorticity is concentrated near special vortex crystals. These vortex crystals belong to the classical family of regular polygons with a central vortex, where we choose a particular intensity for the central vortex to have strong stability properties. A special case is the regular pentagon with no central vortex which also satisfies the stability properties required for the long-time confinement to work.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2410.14221
رقم الانضمام: edsarx.2410.14221
قاعدة البيانات: arXiv