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Math. Anal."],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>The present paper is about a famous extension of the Prandtl equation, the so-called Interactive Boundary Layer (IBL) model. This model has been used intensively in the numerics of steady boundary layer flows and compares favorably to the Prandtl model, especially past separation. We consider here the unsteady version of the IBL model and study its linear well-posedness, namely, the linear stability of shear flow solutions to high frequency perturbations. We show that the IBL model exhibits strong unrealistic instabilities, which are in particular distinct from Tollmien--Schlichting waves. 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