Premium
Stability of transonic shock for supersonic flow past a wedge
Author(s) -
Peng Weimin,
Hu Dian
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3608
Subject(s) - transonic , wedge (geometry) , supersonic speed , oblique shock , mathematics , shock wave , shock (circulatory) , choked flow , mechanics , subsonic and transonic wind tunnel , geometry , mathematical analysis , physics , aerodynamics , medicine
When steady supersonic flow hits a slim wedge, there may appear an oblique transonic shock attached to the vertex of the wedge, if the downstream pressure is rather large. This paper studies stability in certain weighted partial Hölder spaces of the oblique transonic shock attached to the vertex of a wedge, which is against steady supersonic flows, under perturbations of the upstream flow and the profile of the wedge. We show that under reasonable conditions on the upcoming supersonic flow and the slope of the wedge, such transonic shocks are structural stable. Mathematically, we solve an elliptic–hyperbolic mixed type in an unbounded domain, and the flow field is proved to be C 1 . Copyright © 2015 John Wiley & Sons, Ltd.