SOME LIOUVILLE-TYPE THEOREMS FOR THE STATIONARY 3D MAGNETO-MICROPOLAR FLUIDS

被引：0

作者：

JaeMyoung KIM ^{[1
]}

Seungchan KO ^{[2
]}

机构：

[1] Department of Mathematics Education,Andong National University

[2] Department of Mathematics,Inha

来源：

Acta Mathematica Scientia | 2024年 / 44卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O175.2 [偏微分方程];

学科分类号：

摘要：

In this paper,we prove some Liouville-type theorems for the stationary magnetomicropolar 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 solutions are contained in Lp（R3） with p ∈ [2,9/2).Finally,we show the same result for lower values of p ∈ [1,9/4) with the further assumption that the solutions vanish at infinity.

引用

页码：2296 / 2306

页数：11

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