On Howard’s conjecture in heterogeneous shear flow problem

  • R. G. Shandil
  • Jagjit Singh


Howard’s conjecture, which states that in the linear instability problem of inviscid heterogeneous parallel shear flow growth rate of an arbitrary unstable wave must approach zero as the wave length decreases to zero, is established in a mathematically rigorous fashion for plane parallel heterogeneous shear flows with negligible buoyancy forcegΒ ≪ 1 (Miles J W,J. Fluid Mech. 10 (1961) 496–508), where Β is the basic heterogeneity distribution function).


Heterogeneous shear flows linear stability 


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    Banerjee M B, Shandil R G, Prakash J, Bandral B S and Lal Prem, On Howard’s conjecture in heterogeneous shear flows instability of modifieds-waves,Indian J. Pure Appl. Math. 28(6) (1997) 825–834MATHMathSciNetGoogle Scholar
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Copyright information

© Indian Academy of Sciences 2003

Authors and Affiliations

  • R. G. Shandil
    • 1
  • Jagjit Singh
    • 1
    • 2
  1. 1.Department of MathematicsH.P. UniversityShimlaIndia
  2. 2.Sidharth Govt. Degree CollegeIndia

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