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.