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Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows.
- Source :
-
Zeitschrift für Angewandte Mathematik und Physik (ZAMP) . Dec2013, Vol. 64 Issue 6, p1711-1727. 17p. - Publication Year :
- 2013
-
Abstract
- In our previous work, we have established the existence of transonic characteristic discontinuities separating supersonic flows from a static gas in two-dimensional steady compressible Euler flows under a perturbation with small total variation of the incoming supersonic flow over a solid right wedge. It is a free boundary problem in Eulerian coordinates and, across the free boundary (characteristic discontinuity), the Euler equations are of elliptic–hyperbolic composite-mixed type. In this paper, we further prove that such a transonic characteristic discontinuity solution is unique and L1–stable with respect to the small perturbation of the incoming supersonic flow in Lagrangian coordinates. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 64
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 92031822
- Full Text :
- https://doi.org/10.1007/s00033-013-0312-6