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

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    • 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


      V Ganesh1 M Subbiah2

      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
    • Dates

  • Proceedings – Mathematical Sciences | News

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