Exact solutions of the equations of two-phase dynamics. Collapse of gas and particles in space


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Abstract

Under consideration is the system of partial differential equations describing the dynamics of a two-phase medium. Exact partially invariant solutions of rank 1 and defect 1 of this system are obtained with respect to some four-dimensional subalgebras. The phenomenon of collapse (an instantaneous source) in a two-phase medium is described.

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A. V. Panov

Chelyabinsk State University

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Email: gjd@bk.ru
Russian Federation, ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454001

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