边界层理论中混合对流方程的积分形式(英文)

Integral forms of mixed convection equation arising in boundary layer theory

通过引入一个独立的变量t和一个未知的函数w(t),给出了关于f(η)的三阶非线性边值问题f(η)+(1+λ)f(η)f″(η)+2λ[1-f′(η)]f′(η)=0,0η<+∞.f(0)=0,f′0)=β,f′(+∞)=1,的奇异积分形式,并得出上面方程凸解和凹解的不存在结果.

By introducing a new independent variable t and a new lar integral forms to the following third-order nonlinear boundary value problems for f（η）： f′″（η） ＋（1＋λ ）f（η）f″（η） ＋ 2λ [ 1 -f′（η）f′（η） = 0, 0≤η〈＋∞ f（0）=0,f′（0）=β,f′（＋∞）=1 are presented and new non-existence results of the convex solution and concave solution are obtained.