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Stability of transonic shocks for the full Euler system in supersonic flow past a wedge
Author(s) -
Fang Beixiang
Publication year - 2005
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.661
Subject(s) - transonic , supersonic speed , choked flow , shock (circulatory) , wedge (geometry) , oblique shock , mechanics , subsonic and transonic wind tunnel , mathematics , perturbation (astronomy) , aerodynamics , shock wave , physics , geometry , medicine , quantum mechanics
We study the stability of transonic shocks in steady supersonic flow past a wedge. It is known that in generic case such a problem admits two possible locations of the shock front, connecting the flow ahead of it and behind it. They can be distinguished as supersonic–supersonic shock and supersonic–subsonic shock (or transonic shock). Both these possible shocks satisfy the Rankine–Hugoniot conditions and the entropy condition. We prove that the transonic shock is conditionally stable under perturbation of the upstream flow or perturbation of wedge boundary. Copyright © 2005 John Wiley & Sons, Ltd.