Geodesic
Exact solutions to the equations of the dynamics of a~two-phase medium. Collapse of a~gas and particles in space
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 2, pp. 71-82

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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, symmetry Lie algebra, partially invariant solution, collapse.
Mots-clés : exact solution 
@article{SJIM_2017_20_2_a7,
     author = {A. V. Panov},
     title = {Exact solutions to the equations of the dynamics of a~two-phase medium. {Collapse} of a~gas and particles in space},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {71--82},
     publisher = {mathdoc},
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     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_2_a7/}
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A. V. Panov. Exact solutions to the equations of the dynamics of a~two-phase medium. Collapse of a~gas and particles in space. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 2, pp. 71-82. http://geodesic.mathdoc.fr/item/SJIM_2017_20_2_a7/