Linear Inviscid Damping for Couette Flow in Stratified Fluid
Linear Inviscid Damping for Couette Flow in Stratified Fluid
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DOI：
10.1007/s00021-017-0328-3
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发表时间：
2016-10
影响因子：
1.3
通讯作者：
Jincheng Yang;Zhiwu Lin
中科院分区：
文献类型：
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作者：
Jincheng Yang;Zhiwu Lin
我们研究了具有指数分层密度的Couette流的无粘阻尼项。对于具有最小正则性的一般摄动，得到了速度场和密度的最佳衰减率。对于Boussinesq近似模型，我们得到的衰减率与文献中的结果是一致的。我们还研究了以前没有研究过的分层流体全欧拉方程的衰减率。对于这两个模型，衰减率以非常相似的方式依赖于理查森数。此外，我们还研究了在没有切变的情况下，由于指数分层引起的色散衰减。
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.