Abstract
We further investigate the strange spectra of the Orr-Sommerfeld operator using the plane Poiseuille flow as a basic stationary flow for normal fluids in the two-fluid system of helium II by a verified preconditioned complex-matrix solver. The strange spectra are composed of one pair of eigenvalues with the same phase speed (real part) but different amplification factors (imaginary part) corresponding to the specific Reynolds number and wavenumber we select. These kinds of degeneracy disappear for Reynolds number around 400, where the `drifting' of the complete spectra imposes much more complexity on the searching.
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