标题： 旋转剪切流中水动力湍流的路径：二次扰动通过椭圆不稳定触发增长的本征模 显示英文标题

标题： Route of hydrodynamic turbulence in rotating shear flow: Secondary perturbation triggers growing eigenmodes through the elliptical instability

摘要： 旋转剪切流中水动力湍流的起源，例如包括科里奥利力的平面库特流，是一个巨大的谜团。尽管在实验室实验中这种流动经常表现出湍流状态，但根据线性扰动理论，它应该总是稳定的。我们证明了对于主要受到扰动的流动，二次扰动会触发此类系统中的椭圆不稳定现象，从而导致指数增长的本征模。这一结果立即适用于天体物理学和地球物理学，这些领域通常表现出具有开普勒角动量分布的湍流流动。我们探讨了类似于旋转库特流的开普勒流中湍流的起源。 显示英文摘要

摘要： Origin of hydrodynamic turbulence in rotating shear flow, e.g. plane Couette flow including the Coriolis force, is a big puzzle. While the flow often exhibits turbulence in laboratory experiments, according to the linear perturbation theory it should always be stable. We demonstrate that the secondary disturbance to the primarily perturbed flow triggers the elliptical instability in such a system and hence an exponential growing eigenmode. This result has an immediate application to astrophysics and geophysics which often exhibit a turbulent flow with the Keplerian angular momentum profile. We address the origin of turbulence in such a Keplerian flow which is similar to rotating Couette flow.