三维非均匀不可压磁微极流体的衰减估计  

Decay estimate for the 3D nonhomogeneous incompressible magneto-micropolar fluid

作　　者：李俐玫 王馨梅 LI Li-mei;WANG Xin-mei(School of Mathematical Sciences and VC/VR Key Laboratory,Sichuan Normal University,Chengdu 610068,Sichuan,China)

机构地区：[1]四川师范大学数学科学学院/可视化计算与虚拟现实四川省重点实验室,四川成都610068

出　　处：《西北师范大学学报（自然科学版）》2023年第2期1-7,共7页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11701399)。

摘　　要：研究非均匀不可压磁微极流体方程组在全空间R^(3)上的最优衰减率.首先,利用能量估计法给出方程组解的高阶导数的能量不等式.其次,在s∈(0,1/2]和s∈(1/2,3/2)的范围内,分别得到在负Sobolev空间中方程组解的估计.最后通过转化得到常微分方程进而求得不可压磁微极流体方程组解的高阶导数的最优衰减率.The decay estimate for the 3D nonhomogeneous incompressible magneto-micropolar fluid equations is considered in full space R^(3).Firstly,the energy inequalities of the higher derivative of the solution are obtained by using energy method.Then,the estimate of the solution is given in a negative Sobolev space with s∈(0,1/2]and s∈(1/2,3/2).Finally,the optimal decay rate of the higher derivatives of the solution is obtained through the corresponding ordinary differential equations.

关 键 词：磁微极流体 最优衰减率 能量估计 能量不等式 负Sobolev空间 

分 类 号：O175.29[理学—数学]