Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows

Journal article

For a two-dimensional steady supersonic Euler flow past a convex cornered wall with right angle, a characteristic discontinuity (vortex sheet and/or entropy wave) is generated, which separates the supersonic flow from the quiescent gas (hence subsonic). We proved that such a transonic characteristic discontinuity is structurally stable under small perturbations of the upstream supersonic flow in BV. The existence of a weak entropy solution and Lipschitz continuous free boundary (i.e., characteristic discontinuity) is established. To achieve this, the problem is formulated as a free boundary problem for a nonstrictly hyperbolic system of conservation laws; and the free boundary problem is then solved by analyzing nonlinear wave interactions and employing the front tracking method. © 2013 American Institute of Physics.

Authors: Chen, G; Kukreja, V; Yuan, H

• Publication status: Published
• Journal: JOURNAL OF MATHEMATICAL PHYSICS
• Volume: 54
• Issue: 2
• Pages: 021506-021506
• Publication date: 2013-02-01
• DOI: 10.1063/1.4790887
• ISSN: 0022-2488
• Language: English