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

作　　者：Jae-Myoung KIM Seungchan KO 

机构地区：[1]Department of Mathematics Education,Andong National University,Gyeongdong-ro,Andong-si,36729,Gyeongsangbuk-do,Republic of Korea [2]Department of Mathematics,Inha University,Inha-ro,Michuhol-gu,22212,Incheon-si,Republic of Korea

出　　处：《Acta Mathematica Scientia》2024年第6期2296-2306,共11页数学物理学报（B辑英文版）

基　　金：supported by Inha University Research Grant and National Research Foundation of Korea Grant funded by the Korean Government(RS-2023-00212227);supported by National Research Foundation of Korea Grant funded by the Korean Government(NRF-2020R1C1C1A01006521)。

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 L^(p)(R^(3))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.

关 键 词：stationary magneto-micropolar equations Liouville-type theorem 

分 类 号：O175.2[理学—数学]