Positive Solutions of the Falkner--Skan Equation Arising in the Boundary Layer Theory

Canadian mathematical bulletin

关键词: Falkner-Skan equation;    boundary layer problems;    singular integral equation;    positive solutions;   

DOI  :  10.4153/CMB-2008-039-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

The well-known Falkner--Skan equation is one of the most importantequations in laminar boundary layer theory and is used to describethe steady two-dimensional flow of a slightly viscousincompressible fluid past wedge shaped bodies of angles related to$lambdapi/2$, where $lambdain mathbb R$ is a parameterinvolved in the equation. It is known that there exists$lambda^{*}<0$ such that the equation with suitable boundaryconditions has at least one positive solution for each $lambdagelambda^{*}$ and has no positive solutions for$lambda

【 授权许可】

Unknown