Article citationsMore>>

Xie, C.J. and Xin, Z.P. (2007) Global Subsonic and Subsonic-Sonic Flows through Infinitely Long Nozzles. Indiana University Mathematics Journal, 56, 2991-3023.
http://www.jstor.org/stable/24902938
https://doi.org/10.1512/iumj.2007.56.3108

has been cited by the following article:

• TITLE: Local Solution of Three-Dimensional Axisymmetric Supersonic Flow in a Nozzle

  AUTHORS: Shuai Wang

  KEYWORDS: High-Dimensional Axisymmetric Hyperbolic Equations, Supersonic Flow in a Nozzle, Local Solutions to Boundary Value Problems of Quasilinear Hyperbolic Equations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.4, April 26, 2023

  ABSTRACT: In this paper, we construct a local supersonic flow in a 3-dimensional axis-symmetry nozzle when a uniform supersonic flow inserts the throat. We apply the local existence theory of boundary value problem for quasilinear hyperbolic system to solve this problem. The boundary value condition is set in particular to guarantee the character number condition. By this trick, the theory in quasilinear hyperbolic system can be employed to a large range of the boundary value problem.