Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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BOUNDS ON THE GROWTH RATE FOR THE KUO PROBLEM

  • S. LAVANYA (Department of Mathematics, Koneru Lakshmaiah Education Foundation) ;
  • V. GANESH (Engineering Department, University of Technology and Applied Sciences) ;
  • G. VENKATA RAMANA REDDY (Department of Mathematics, Koneru Lakshmaiah Education Foundation)
  • Received : 2022.06.06
  • Accepted : 2022.09.30
  • Published : 2023.03.30
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Abstract

We consider Kuo problem of hydrodynamic stability which deals with incompressible, inviscid, parallel shear flows in the 𝛽-plane. For this problem, we derived instability region without any approximations and which intersects with Howard semi-circle region under certain condition. Also, we derived upper bound for growth rate and amplification factor of an unstable mode and proved Howard's conjecture.

Keywords

Acknowledgement

The author's are thankful to reviewer for valuable suggestion to improve the manuscript.

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