二维定常的微流边界层解的存在性  

The Existence of Solution for Two-dimensional Stationary Boundary Layer

作　　者：叶霞[1] 黄志圣[1] 黄臻鑫[1] 林世敏[1] 詹华税[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2012年第3期217-222,共6页Journal of Jimei University：Natural Science

基　　金：福建省自然科学基金资助项目(2009J01009);福建省大学生创新性实验计划项目

摘　　要：证明了二维边界层uu/x+vu/y=υ2u/y2-dp/dx和u/x+v/y=0满足边界条件:u(0,y)=u0(y),u(x,0)=0,limy→∞u(x,y)=U(x),v(x,0)=v0(x)在D={(x,y)0<x<X,0<y<∞}内解的存在唯一性,其中:X是适当小的正数;υ(x,y)是与x,y有关的不可压缩流体粘性系数.假设流体密度恒等于1,u0(y),v0(x),U(x)为给定函数,U(x)≠0且满足Bernoulli等式:U2(x)+2p(x)=c(c为常数).The existence and the uniqueness of solutions for the following system of partial differential equations uu/x+vu/y=υ2u/y2-dp/dx and u/x+v/y=0 in a domain D={(x,y)0<x<X,0<y<∞},with the conditions u(0,y)=u0(y),u(x,0)=0,limy→∞ u(x,y)=U(x),v(x,0)=v0(x)were obtained,Here X was a suitable small positive constant;the viscosity function was υ=υ(x;y);u0(y),v0(x),U(x) were given functions,U(x)≠0 and satisfied the Bernoulli equation U2(x)+2p(x)=c.

关 键 词：二维边界层 存在性 唯一性 

分 类 号：O175.26[理学—数学]