Some Liouville-type theorems for the stationary 3D magneto-micropolar fluids

التفاصيل البيبلوغرافية
العنوان: Some Liouville-type theorems for the stationary 3D magneto-micropolar fluids
المؤلفون: Kim, Jae-Myoung, Ko, Seungchan
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs
الوصف: In this paper we prove some Liouville-type theorems for the stationary magneto-micropolar fluids under suitable conditions in three space dimensions. We first prove that the solutions are trivial under the assumption of certain growth conditions for the mean oscillations of the potentials. And then we show similar results assuming that the the solutions are contained in $L^p(\mathbb{R}^3)$ with $p\in[2,9/2)$. Finally we show the same result for lower values of $p\in[1,9/4)$ with the further assumption that the solutions vanish at infinity.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2204.05759
رقم الانضمام: edsarx.2204.05759
قاعدة البيانات: arXiv