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arXiv · 1702.07924

Green function of Orr Sommerfeld equations away from critical layers

Emmanuel Grenier·Toan T. Nguyen
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Abstract

The classical Orr-Sommerfeld equations are the resolvent equations of the linearized Navier Stokes equations around a stationary shear layer profile in the half plane. In this paper, we derive pointwise bounds on the Green function of the Orr Sommerfeld problem away from its critical layers.

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Emmanuel Grenier, Toan T. Nguyen. 2017-02-25. Green function of Orr Sommerfeld equations away from critical layers. https://arxiv.org/abs/1702.07924

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