Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE BOUNDS FOR WAVE STABILITY OF STRATIFIED SHEAR FLOWS

  • 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 : 2023.05.22
  • Accepted : 2023.10.05
  • Published : 2024.01.30
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Abstract

We consider incompressible, inviscid, stratified shear flows in β plane. First, we obtained an unbounded instability region intersect with semi-ellipse region. Second, we obtained a bounded instability regions depending on Coriolis, stratification parameters and basic velocity profile. Third, we obtained a criterion for wave stability. This has been illustrated with standard examples. Also, we obtained upper bound for growth rate.

Keywords

Acknowledgement

The authors are thankful to reviewer for valuable suggestion to improve the manuscript.

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