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arXiv · 1910.03988

Green function for linearized Navier-Stokes around a boundary shear layer profile for long wavelengths

Emmanuel Grenier·Toan T. Nguyen
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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 $\alpha$ of order $\nu^{1/4}$, which correspond to the lower boundary of the instability area for monotonic profiles.

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Emmanuel Grenier, Toan T. Nguyen. 2019-10-09. Green function for linearized Navier-Stokes around a boundary shear layer profile for long wavelengths. https://arxiv.org/abs/1910.03988

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