This article is cited in 3 papers

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

A. V. Panov

Chelyabinsk State University, Br. Kashirinykh str., 129, 454001 Chelyabinsk

Abstract: We consider a system of partial differential equations describing the dynamics of a two-phase medium. We find exact solutions to this system, solutions partially invariant under some four-dimensional subalgebras of rank and defect 1 for some four-dimensional subalgebras. The phenomenon of collapse (instantaneous source) in a two-phase medium is described.

Keywords: two-phase medium, exact solution, symmetry Lie algebra, partially invariant solution, collapse.

UDC: 517.958

Received: 02.02.2016

DOI: 10.17377/sibjim.2017.20.208

 English version: Journal of Applied and Industrial Mathematics, 2017, 11:2, 263–273

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