• On Upper Bounds for the Growth Rate in the Extended Taylor–Goldstein Problem of Hydrodynamic Stability

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/119/01/0119-0135

• # Keywords

Shear flows; hydrodynamic stability; sea straits; variable bottom.

• # Abstract

For the extended Taylor–Goldstein problem of hydrodynamic stability governing the stability of shear flows of an inviscid, incompressible but density stratified fluid in sea straits of arbitrary cross-section a new estimate for the growth rate of an arbitrary unstable normal mode is given for a class of basic flows. Furthermore the Howard’s conjecture, namely, the growth rate $kc_i\to 0$ as the wave number $k\to\infty$ is proved for two classes of basic flows.

• # Author Affiliations

1. Department of Mathematics, Rajiv Gandhi College of Engineering and Technology, Kirumampakkam, Pondicherry 607 402, India
2. Department of Mathematics, Pondicherry University, Kalapet, Pondicherry 605 014, India

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019