Boussinesq方程温和解的全局适定性  

Global Well-Posedness of the Mild Solutions to the Boussinesq Equations

作　　者：周艳平 王珣 别群益[1] ZHOU Yanping;WANG Xun;BIE Qunyi(College of Science,China Three Gorges University,Yichang,Hubei 443002,P.R.China)

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《应用数学和力学》2022年第8期920-926,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11901346,11871305)。

摘　　要：Boussinesq方程作为描述许多地球物理现象的模型,是Navier-Stokes方程与热力学方程之间耦合的零阶近似.利用隐函数定理,研究带黏性高维Boussinesq系统,并得到了小初值位于尺度不变空间时温和解的全局适定性.The Boussinesq system,as a model to describe many geophysical phenomena,is a zero-order approximation of the coupling between the Navier-Stokes equations and the thermodynamic equations.The multi-dimensional viscous Boussinesq equations were considered.By means of the implicit function theorem,the global well-posedness of the mild solutions was obtained with the small initial data in the scaling invariant spaces.

关 键 词：BOUSSINESQ方程 温和解 全局适定性 

分 类 号：O175.2[理学—数学]