Green function for linearized Navier-Stokes around a boundary shear layer profile for long wavelengths
Abstract
This paper is the continuation of a program, initiated in Grenier-Nguyen [8,9], to derive pointwise estimates on the Green function of Orr Sommerfeld equations. In this paper we focus on long wavelength perturbations, more precisely horizontal wavenumbers α of order 1/4, which correspond to the lower boundary of the instability area for monotonic profiles.
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