Journal article

### Stability of Transonic Shock-Fronts in Three-Dimensional Conical Steady Potential Flow past a Perturbed Cone

Abstract:

For an upstream supersonic flow past a straight-sided cone in $\R^3$ whose vertex angle is less than the critical angle, a transonic (supersonic-subsonic) shock-front attached to the cone vertex can be formed in the flow. In this paper we analyze the stability of transonic shock-fronts in three-dimensional steady potential flow past a perturbed cone. We establish that the self-similar transonic shock-front solution is conditionally stable in structure with respect to the conical perturbation ...

### Access Document

Publisher copy:
10.3934/dcds.2009.23.85

### Authors

Journal:
Discrete and Continuous Dynamical Systems
Volume:
23
Issue:
1-2
Pages:
85-114
Publication date:
2007-11-23
DOI:
ISSN:
1078-0947
Source identifiers:
203483
Language:
English
Keywords:
Pubs id:
pubs:203483
UUID:
Local pid:
pubs:203483
Deposit date:
2012-12-19