摘要
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.
作者
段犇
兰傲
罗珍
Ben DUAN;Ao LAN;Zhen LUO(School of Mathematical Sciences,Jilin University,Changchun 130012 China;School of Mathematics,Dalian University of Technology,Dalian116024,China;School of Mathematical Sciences,Xiamen University,Xiamen 361005,China)
基金
partially supported by NSFC(11871133,12171498)
partially supported by NSFC(11971402,12171401)
the NSF of Fujian province,China(2020J01029)。
