关于非均匀剪切流问题中的Howard猜想
On Howard's conjecture in heterogeneous shear flow problem
摘要：
Howard猜想指出，在无粘性非均匀平行剪切流的线性不稳定性问题中，当波长减小到零时，任意不稳定波的增长率必须接近零，该猜想以数学上严格的方式建立，用于具有可忽略浮力$gβ\ll 1$的平面平行非均匀剪切流（Miles J W，{ \it J. Fluid Mech.} { \bf 10}（1961）496- 508），其中$β$是基本异质性分布函数）。
英文摘要：
Howard's conjecture, which states that in the linear instability problem of inviscid heterogeneous parallel shear flow growth rate of an arbitrary unstable wave must approach zero as the wave length decreases to zero, is established in a mathematically rigorous fashion for plane parallel heterogeneous shear flows with negligible buoyancy force $gβ\ll 1$ (Miles J W, {\it J. Fluid Mech.} {\bf 10} (1961) 496--508), where $β$ is the basic heterogeneity distribution function).
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