Abstract
By applying the method of initial values to the theory of stability of shear flows, Case has recently found certain results which are in apparent conflict with those obtained by the theory of normal modes. It is shown how these differences may be reconciled. Some new features in the theory of normal modes are also brought out. The relative merits of the two theories are compared.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference6 articles.
1. Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
2. Langer, R. E. 1940 Butt. Amer. Math. Soc. 46, 257.
3. Case, K. M. 1960 Stability of inviscid plane Couette flow. Phys. Fluids 3, 143.
4. Case, K. M. 1961 Hydrodynamic stability and the inviscid limit. J. Fluid Mech 10, 420.
5. Lin, C. C. & Rabenstein, A. L. 1960 Asymptotic solutions of a class of differential equations of the fourth order. Trans. Amer. Math. Soc. 94, 24.
Cited by
82 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献