剪切流中internal waves的耦合Ostrovsky方程
Coupled Ostrovsky equations for internal waves in a shear flow
摘要：
在流体流动的背景下，耦合奥斯特洛夫斯基方程出现时，两个不同的线性长波模式有几乎一致的相速度在存在的背景旋转。在本文中，非线性波在分层流体中的剪切流的存在下，研究分析，使用技术从渐近摄动理论，并通过数值模拟。该系统的色散关系，基于一个分层剪切流的三层模型，揭示了各种动力学行为，包括非定常和定常包络波包的存在。
英文摘要：
In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid in the presence of shear flow are investigated both analytically, using techniques from asymptotic perturbation theory, and through numerical simulations. The dispersion relation of the system, based on a three-layer model of a stratified shear flow, reveals various dynamical behaviours, including the existence of unsteady and steady envelope wave packets.
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