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Mathematics > Analysis of PDEs

arXiv:1610.08924 (math)
[Submitted on 27 Oct 2016 (v1), last revised 10 Oct 2017 (this version, v2)]

Title:Linear Inviscid Damping for Couette Flow in Stratified Fluid

Authors:Jincheng Yang, Zhiwu Lin
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Abstract:We study the inviscid damping of Couette flow with an exponentially stratified density. The optimal decay rates of the velocity field and the density are obtained for general perturbations with minimal regularity. For Boussinesq approximation model, the decay rates we get are consistent with the previous results in the literature. We also study the decay rates for the full Euler equations of stratified fluids, which were not studied before. For both models, the decay rates depend on the Richardson number in a very similar way. Besides, we also study the dispersive decay due to the exponential stratification when there is no shear.
Subjects: Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:1610.08924 [math.AP]
  (or arXiv:1610.08924v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1610.08924
Related DOI: https://doi.org/10.1007/s00021-017-0328-3

Submission history

From: Jincheng Yang [view email]
[v1] Thu, 27 Oct 2016 18:50:53 UTC (26 KB)
[v2] Tue, 10 Oct 2017 18:10:17 UTC (25 KB)
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