RADIAL TRANSONIC SHOCK SOLUTIONS OF EULER-POISSON SYSTEM IN CONVERGENT NOZZLES

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Given constant data, of density rho(0), velocity -u(0)e(r), pressure rho(0) and electric force -E(0)e(r) for supersonic flow at the entrance, and constant pressure p(ex) for subsonic flow at the exit, we prove that Euler-Poisson system admits a unique transonic shock solution in a two dimensional convergent nozzle, provided that u(0) > 0, E-0 > 0, and that E-0 is sufficiently large depending on (p(0), u(0),p(0)) and the length of the nozzle.
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Issue Date
2018-10
Language
English
Article Type
Article; Proceedings Paper
Citation

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, v.11, no.5, pp.773 - 791

ISSN
1937-1632
DOI
10.3934/dcdss.2018049
URI
http://hdl.handle.net/10203/280621
Appears in Collection
MA-Journal Papers(저널논문)
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