This article is cited in 3 papers

Stability criterion of shear fluid flow and the hyperbolicity of the long-wave equations

E. Yu. Knyazeva^ab, A. A. Chesnokov<sup>ab

a</sup> Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: It is shown that the conditions of hyperbolicity of the integrodifferential equations of long waves correspond to the stability criteria of shear flows of an ideal fluid.

Keywords: shear flows, stability criteria, long waves, hyperbolicity.

UDC: 517.957+532.5.013.4

Received: 15.06.2011

 English version: DOI: 10.1134/S0021894412050045

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