论文标题
内部重力波的近临界反射的线性边界层分析，其粘度和扩散率不同
Linear boundary layer analysis of the near-critical reflection of internal gravity waves with different sizes of viscosity and diffusivity
论文作者
论文摘要
这项工作的目的是在更一般和现实的环境中迈出进一步的一步，以理解内部重力波的近乎临界反射，粘度$ν$和扩散性$κ$的大小不同。特别是，我们提供了边界层（边界层波数据包）衰变和大小的系统表征，具体取决于粘度和扩散性的数量级。在Dauxois \＆Young JFM 1999的缩放假设下，我们可以为线性近临界反射问题构建$ l^2 $稳定的近似解决方案，在临界参数方面，扩散性的粘度都可以满足精确的缩放定律。
The aim of this work is to make a further step towards the understanding of the near-critical reflection of internal gravity waves from a slope in the more general and realistic context where the size of viscosity $ν$ and the size of diffusivity $κ$ are different. In particular, we provide a systematic characterization of boundary layers (boundary layer wave packets) decays and sizes depending on the order of magnitude of viscosity and diffusivity. We can construct an $L^2$ stable approximate solution to the linear near-critical reflection problem under the scaling assumption of Dauxois \& Young JFM 1999, where either viscosity of diffusivity satisfies a precise scaling law in terms of the criticality parameter.
