一类具有热对流作用的非牛顿微极流体方程组的强解  

Strong solutions for a class of non-Newtonian micropolar fluid equations with heat convection

作　　者：段雨希 王长佳 DUAN Yuxi;WANG Changjia(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学数学与统计学院,长春130022

出　　处：《黑龙江大学自然科学学报》2022年第2期165-175,共11页Journal of Natural Science of Heilongjiang University

基　　金：吉林省自然科学基金资助项目(20210101159JC)。

摘　　要：考虑在三维光滑有界区域Ω中一类具有热对流作用的稳态非牛顿微极流体方程组的第一边值问题。讨论了在外力项和涡旋粘性系数适当小的条件下,该问题的强解的存在唯一性。In the three-dimensional smooth and bounded domain Ω, the first boundary value problem for a class of steady non-Newtonian micropolar fluid equations with thermal convection is considered. Under the conditions that the external force term and the vortex viscosity coefficient are appropriately small, the existence and uniqueness of the strong solutions of this problem are achieved.

关 键 词：非牛顿流 微极流体 方程组 强解 存在唯一性 

分 类 号：O175.2[理学—数学]