混合对流方程的凸解的某些性质  

Some Properties of Convex Solution of the Mixed Convection Equation

作　　者：胡敏[1] 杜翠[1] 罗圆[1] 

机构地区：[1]成都信息工程学院数学学院,四川成都610225

出　　处：《成都信息工程学院学报》2010年第4期438-441,共4页Journal of Chengdu University of Information Technology

摘　　要：为了研究产生于流体力学边界层理论的混合对流方程解的性质,通过研究与混合对流方程等价的奇异积分方程正解的存在性和单调性,获得了混合对流方程凸解的存在性和凸解模的上下界,并将这些性质应用于估计混合对流方程中剪应力函数模的上下界.In order to investigate some properties of solution to the mixed convection equation, which arises from boundary layer theory in fluid mechanics, in this paper, by studying existence and monotonous of positive solution of the integral equation with singularities, we obtain the existence of convex solution of the mixed convection equation and the upper and lower bound of this convex solution. And by utilizing those properties, we estimate the upper and lower bound of the shear stress function.

关 键 词：混合对流方程 奇异积分方程 正解 凸解 上下界 

分 类 号：O175.8[理学—数学]