On upper bounds for the growth rate in the extended Taylor-Goldstein problem of hydrodynamic stability. (English) Zbl 1202.76064
The authors conduct an in-depth study of the Taylor-Goldstein hydrodynamic stability problem. They obtain four lemmas which are used to prove their theorems, estimating new growth rates as well as Howard’s conjecture. Special topography appropriate for sea straits is considered. The comparison of the bounds with numerically computed growth rates is useful.
Reviewer: Shlomo Carmi (Baltimore)
MSC:
| 76E20 | Stability and instability of geophysical and astrophysical flows |
| 76E05 | Parallel shear flows in hydrodynamic stability |
| 86A05 | Hydrology, hydrography, oceanography |
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