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Linear inviscid damping near monotone shear flows

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arxiv 1902.06849 v1 pith:EPUJMW4Q submitted 2019-02-19 math.AP

Hao Jia This is my paper · ORCID
classification math.AP
keywords dampinginviscidlinearmonotonenearshearasymptoticschannel
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abstract

We give an elementary proof of sharp decay rates and the linear inviscid damping near monotone shear flow in a periodic channel, first obtained in [14]. We shall also obtain the precise asymptotics of the solutions, measured in the space $L^{\infty}$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stability threshold of the 2D Couette flow in Sobolev spaces

    math.AP 2019-08 conditional novelty 8.0 of 10

    For 2D Navier-Stokes near Couette flow, H^σ vorticity perturbations of size ≤ ε Re^{-1/3} are globally stable with inviscid damping and enhanced dissipation.

  2. On the stability of laminar flows between plates

    math-ph 2019-08 conditional novelty 7.0 of 10

    Monotone shear flows that are either nearly linear or have no inflection point are linearly stable in the large Reynolds limit, in a periodic channel with no-slip or traction boundary conditions.

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