TRANSONIC SHOCK SOLUTIONS TO THE EULER SYSTEM IN DIVERGENT-CONVERGENT NOZZLES  

作　　者：Ben DUAN Ao LAN Zhen LUO 段犇;兰傲;罗珍(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)

机构地区：[1]School of Mathematical Sciences,Jilin University,Changchun 130012 China [2]School of Mathematics,Dalian University of Technology,Dalian116024,China [3]School of Mathematical Sciences,Xiamen University,Xiamen 361005,China

出　　处：《Acta Mathematica Scientia》2022年第4期1536-1546,共11页数学物理学报（B辑英文版）

基　　金：partially supported by NSFC(11871133,12171498);partially supported by NSFC(11971402,12171401);the NSF of Fujian province,China(2020J01029)。

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.

关 键 词：Euler system transonic shocks steady solutions NOZZLE 

分 类 号：O354[理学—流体力学]