一类不可压非牛顿Boussinesq方程组正则解的存在性  

Existence of Regular Solution for a Class of Incompressible Non-Newton Boussinesq Equations

作　　者：刘琳[1] 王长佳 

机构地区：[1]长春理工大学数学与统计学院,吉林 长春

出　　处：《应用数学进展》2023年第4期1855-1865,共11页Advances in Applied Mathematics

摘　　要：在三维光滑有界区域中研究了奇异情况下的非牛顿Boussinesq方程组的周期初边值问题。应用Galerkin方法、Gronwall不等式、Aubin-Lions引理,并结合能量估计、紧性方法证明了外力项适当小的情况下,该方程组正则解的存在性。The periodic initial boundary value problem of non-Newtonian Boussinesq equations in singular case is studied in three-dimensional smooth bounded domain. By using Galerkin method, Gronwall inequality, Aubin-Lions lemma, energy estimation and compactness method, the existence of regu-lar solutions for the system is proved when the external force term is appropriately small.

关 键 词：非牛顿流 BOUSSINESQ方程组 奇异性 正则性 

分 类 号：O17[理学—数学]