2 problems
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Howard's conjecture on short-wavelength instability in heterogeneous shear flow
In an inviscid heterogeneous parallel shear flow, let an unstable wave have growth rate determined by the linear instability problem, and let its wavelength decrease to zero. Here…
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Conjecture on absolute instabilities in viscous shear layers
Absolute-instability conjecture. In the viscous case, absolute instabilities require a large , corresponding to weak viscosity, coupled with a thin boundary layer.