Finite amplitude stability of a plane shear layer
Abstract
We analyze the finite amplitude stability of a planar shear layer near the marginal stability point in the limit of large wavelengths and small Reynolds numbers. We find a subcritical bifurcation and therefore instability to finite amplitude perturbations where linear analysis predicts stability. This result is opposite to that found by previous analyses done in the high Reynolds number regime, where a supercritical bifurcation was found.
- Publication:
-
Geophysical and Astrophysical Fluid Dynamics
- Pub Date:
- 1988
- DOI:
- 10.1080/03091928808208870
- Bibcode:
- 1988GApFD..43..333B