Ev. Bogdanovaryzhova et Os. Ryzhov, SOLITARY-LIKE WAVES IN BOUNDARY-LAYER FLOWS AND THEIR RANDOMIZATION, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 352(1700), 1995, pp. 389-404
Essentially nonlinear motions generated in incompressible boundary lay
ers by external agencies are considered. A pertinent mathematical mode
l for the Blasius flow is furnished by the forced Benjamin-Davis-Acriv
os integral-differential equation. A steady hump is chosen as a simple
st source in order to trace the disturbance-pattern evolution as the r
oughness height increases, provided that its length is kept fixed. Occ
urence of bifurcation phenomena features this problem; the first publi
cation gives rise, In particular, to a specific regime with nearly lim
it-cycle-type oscillations in the immediate vicinity of the hump. Afte
r the second bifurcation studied, the nearly periodic regime collapses
into irregular pulsations with erratic sequences of amplitudes and ch
aracteristic times. A brief discussion based on the forced Korteweg-de
Vries equation lends credence to the view that the chaotically transi
tional process can be triggered at an earlier stage of wave amplificat
ion.