TY - JOUR
T1 - The Uniqueness of a Transonic Shock in a Nozzle for the 2-D Complete Euler System with the Variable End Perssure
AU - Dacheng Cui  & Huicheng Yin
JO - Journal of Partial Differential Equations
VL - 3
SP - 263
EP - 288
PY - 2008
DA - 2008/08
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5282.html
KW - Steady Euler system
KW - supersonic flow
KW - subsonic flow
KW - transonic shock
KW - nozzle
AB -  In this paper, by use of the methods in [1-3], we establish the uniqueness of a 2-D transonic shock solution in a nozzle when the end pressure in the diverging part of the nozzle lies in an appropriate scope. Especially, we remove the crucial but unnatural assumption in recent references which the transonic shock must be assumed to go through a fixed point in advance.