Hyperbolicity of steady-state equations of gas shear flows in a thin layer

A. K. Khe

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: The steady-state three-dimensional motion of an ideal gas in a thin layer of variable height is considered. In the long-wave approximation, the equations of gas dynamics reduce to a system of integrodifferential equations. The generalized characteristics and hyperbolicity conditions of the obtained system are found.

Keywords: steady-state gas dynamics, integrodifferential equations, generalized characteristics.

UDC: 533.6.011 + 517.948.34

Received: 04.06.2003
Accepted: 16.10.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2004, 45:2, 181–186

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