In this paper, we study the transonic shock solutions to the steady Euler system in a quasi-one-dimensional divergent-convergent nozzle. For a given physical supersonic inflow at the entrance, we obtain exactly two non-isentropic transonic shock solutions for the exit pressure lying in a suitable range. In addition, we establish the monotonicity between the location of the transonic shock and the pressure downstream.
Ben DUAN
,
Ao LAN
,
Zhen LUO
. TRANSONIC SHOCK SOLUTIONS TO THE EULER SYSTEM IN DIVERGENT-CONVERGENT NOZZLES[J]. Acta mathematica scientia, Series B, 2022
, 42(4)
: 1536
-1546
.
DOI: 10.1007/s10473-022-0414-3
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