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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 2, Pages 71–82
DOI: https://doi.org/10.17377/sibjim.2017.20.208 (Mi sjim960) 		 
This article is cited in 3 scientific papers (total 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
Full-text PDF (415 kB) Citations (3)
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DOI: https://doi.org/10.17377/sibjim.2017.20.208
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.
Funding agency Grant number
Russian Foundation for Basic Research 16-38-50132
Ministry of Education and Science of the Russian Federation 14.Z50.31.0020
Received: 02.02.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 2, Pages 263–273
DOI: https://doi.org/10.1134/S1990478917020120
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. V. Panov, “Exact solutions to the equations of the dynamics of a two-phase medium. Collapse of a gas and particles in space”, Sib. Zh. Ind. Mat., 20:2 (2017), 71–82; J. Appl. Industr. Math., 11:2 (2017), 263–273
Citation in format AMSBIB
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\paper Exact solutions to the equations of the dynamics of a~two-phase medium. Collapse of a~gas and particles in space
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\pages 71--82
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\jour J. Appl. Industr. Math.
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\vol 11
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\pages 263--273
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