2003/11/28 by R G Shandil, Jagjit Singh
Physics and Astronomy · Mathematics · #math-ph #math.MP
published as Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 4, November 2003, pp. 451-456 · 6 pages, no figures, no tables
arxiv created 2003/11/28 · arxiv updated 2009/12/01
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 force gβ≪ 1 (Miles J W, \it J. Fluid Mech. \bf 10 (1961) 496--508), where β is the basic heterogeneity distribution function).