On the non-existence of periodic neutral-wave solutions to a complex-valued periodic differential equation

被引：2
|
作者：
Walton, AG
机构：
来源：
MATHEMATIKA | 1996年 / 43卷 / 86期
关键词：
D O I：
10.1112/S0025579300011840
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The equation p ''-lambda'/lambda F(lambda)p'-alpha(2)p=0 where F is a certain complex-valued function of the given real periodic function lambda, is studied analytically and numerically. The equation is motivated physically by a boundary-layer stability problem in which lambda represents the skin-friction of the undisturbed basic flow profile. It is proved that no periodic neutral solutions exist for any attached basic flow and the implications of this result for certain vortex-wave interactions are discussed.
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页码：371 / 381
页数：11
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