TY - JOUR T1 - A Unified Instability Region for the Extended Taylor-Goldstein Problem of Hydrodynamic Stability AU - Sridevi , S. AU - Dou , Huashu AU - Ganesh , V. JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1404 EP - 1419 PY - 2017 DA - 2017/09 SN - 9 DO - http://doi.org/10.4208/aamm.OA-2016-0022 UR - https://global-sci.org/intro/article_detail/aamm/10185.html KW - Hydrodynamic stability, shear flows, variable bottom, sea straits. AB -

We consider inviscid, incompressible shear flows with variable density and variable cross section. For this problem, we derived a new estimate for the growth rate of an unstable mode and a parabolic instability region which intersects semiellipse instability region under some condition.