ON THE NONEXISTENCE OF PERIODIC NEUTRAL-WAVE SOLUTIONS TO A COMPLEX-VALUED PERIODIC DIFFERENTIAL-EQUATION

Authors
WALTON AG
Citation
Ag. Walton, ON THE NONEXISTENCE OF PERIODIC NEUTRAL-WAVE SOLUTIONS TO A COMPLEX-VALUED PERIODIC DIFFERENTIAL-EQUATION, Mathematika, 43(86), 1996, pp. 371-381
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematika → ACNP
ISSN journal
00255793
Volume
43
Issue
86
Year of publication
1996
Part
2
Pages
371 - 381
Database
ISI
SICI code
0025-5793(1996)43:86<371:OTNOPN>2.0.ZU;2-4
Abstract
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 la mbda, is studied analytically and numerically. The equation is motivat ed physically by a boundary-layer stability problem in which lambda re presents the skin-friction of the undisturbed basic flow profile. It i s proved that no periodic neutral solutions exist for any attached bas ic flow and the implications of this result for certain vortex-wave in teractions are discussed.