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混合对流边界层问题中凸解不存在性问题（英文）

Nonexistence of Convex Solutions on Opposing Mixed Convection Problem in Boundary Layer Theory
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摘要 为了研究混合对流方程中一个三阶非线性可导方程的凸解的不存在性问题。主要运用方程的等价转化和一些特殊的分析方法去证明在上述的三阶非线性可导方程中不存在凸解。由此,得到当三阶非线性方程及边界条件中的两个参数在满足三种不同的条件时,那么,三阶非线性方程就不存在凸解。结论拓展了前面一些研究者的研究成果。 We present a nonexistence result of convex solutions on opposing mixed convection problem in boundary layer theory. Our methods are to utilize some special analytic techniques to study the nonexistence of convex solutions of the integral equation related to the problem mentioned above. we obtained the third-order nonlinear dierential equation has no convex solutions when λ and ε in dierent conditions. The obtained result extends some recent study.
作者 舒孝珍
机构地区 成都信息工程大学应用数学学院
出处 《成都信息工程学院学报》 2015年第3期288-292,共5页 Journal of Chengdu University of Information Technology
基金 Project supported by the National Natural Science Foundation of China(11171046)
关键词 应用数学 混合对流方程 相似解 外部温度下降 解的不存在. applied mathematics opposing mixed convection similarity solutions ddescending external temperature nonexistence of solutions
分类号 O175.28 [理学—基础数学]
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参考文献17

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成都信息工程学院学报
2015年 第3期

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