三维不可压Boussinesq方程恰当弱解奇异点集的Minkowski维数  

The Minkowski dimension of interior singular points of suitable weak solutions of the three dimensional of incompressible Boussinesq equations

作　　者：李圆[1] 

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411100

出　　处：《湖北大学学报（自然科学版）》2017年第3期241-247,共7页Journal of Hubei University：Natural Science

摘　　要：研究三维不可压Boussinesq方程恰当弱解的部分正则性,给出恰当弱解在某点正则的充分条件,并通过此条件及相关的能量不等式和插值不等式推出奇异点集的Minkowski维数≤95/63.We studied the partial regularity of the suitable weak solution of the three dimensional of incompressible Boussinesq equations. We obtained the sufficient condition of regularity for suitable weak solutions, combining this result and the related interpolation inequalities and energy inequalities,we obtained a conclusion that the Minkowski dimension of singular points set of suitable weak solution was less than 95/63.

关 键 词：BOUSSINESQ方程 恰当弱解 部分正则性 奇点 Minkowski维数 

分 类 号：O175.29[理学—数学]