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arxiv: 1702.07924 · v3 · pith:EKTNNUM5new · submitted 2017-02-25 · 🧮 math.AP

Green function of Orr Sommerfeld equations away from critical layers

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keywords equationsawaycriticalfunctiongreenlayerssommerfeldaround
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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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