成都信息工程学院学报
成都信息工程學院學報
성도신식공정학원학보
JOURNAL OF CHENGDU INSTITUTE OF METEOROLOGY
2007年
6期
757-759
,共3页
混合对流方程%积分形式%奇异
混閤對流方程%積分形式%奇異
혼합대류방정%적분형식%기이
mixed convection equation%integral form%singularity
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)=0,0≤η＜+∞.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.
通過引入一箇獨立的變量t和一箇未知的函數w(t),給齣瞭關于f(η)的三階非線性邊值問題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,的奇異積分形式,併得齣上麵方程凸解和凹解的不存在結果.
통과인입일개독립적변량t화일개미지적함수w(t),급출료관우f(η)적삼계비선성변치문제f(")(η)+(1+λ)f(η)f"(η)+2λ[1-f'(η)]f'(η)=0,0≤η＜+∞.f(0)=0,f'(0)=β,f'(+∞)=1,적기이적분형식,병득출상면방정철해화요해적불존재결과.
By introducing a new independent variable t and a new unknown function w ( t ), the singular 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'(+∞)=1are presented and new non-existence results of the convex solution and concave solution are obtained.
