On the method of Hermitian forms and its application to some problems of hydrodynamic stability-Reference-Cited by-同舟云学术

On the method of Hermitian forms and its application to some problems of hydrodynamic stability

Published:1976-08-20 Issue:1661 Volume:350 Page:213-237
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

A method of bilinear forms for ordinary linear homogeneous differential equations is described where constraints upon eigenvalues may be obtained. Application is made to some well-known problems of hydrodynamic stability, leading to both familiar and new results, in particular for some two dimensional shearing flows and also for some viscous swirling flows.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1976.0104

Reference14 articles.

1. A bram ow itz M. & Segun G. 1964 Handbook of mathematical functions. New Y ork: D over Publications.

2. C handrasekhar S. 1961 Hydrodynamic and hydromagnetic stability. Oxford U niversity Press.

3. F jo rto ft R . 1950 Geofys. Publ. Oslo 17 no. 6.

4. H ow ard L. 1961 J.Fluid M ech.10 509.

5. In ce E . L. 1926 Ordinary differential equations. New Y ork: D over Publications.

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