This article is cited in 9 papers

Characteristics, conservation laws, and symmetries of the kinetic equations of motion of bubbes in a fluid

V. M. Teshukov

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

Abstract: Generalized characteristics and Riemann invariants that are preserved along the characteristics are found for a kinetic model of motion of bubbles in a fluid. Conditions that ensure the hyperbolicity of a set of equations of a bubbly flow are obtained. It is shown that the set of equations of motion has an infinite number of conservation laws. An infinite series of generalized symmetries admitted by the equations is constructed. Solutions that are invariant under the generalized symmetries of solution and describe the propagation of running and simple waves in a bubbly fluid are found.

UDC: 517.958+532.529.5

Received: 21.08.1998

 English version: Journal of Applied Mechanics and Technical Physics, 1999, 40:2, 263–275

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