Persistence of the steady normal shock structure for the unsteady potential flow. (English) Zbl 1456.35137
The authors consider unsteady potential flow in two spatial dimensions in a nozzle. No symmetry is assumed. The authors focus on shock structures and their stability with respect to perturbations of the nozzle and the initial data. The shock structure is proved to persist, at least for a short time, under perturbations of the nozzle boundary as well as of the initial data of the flow fields.
Reviewer: Ilya A. Chernov (Petrozavodsk)
MSC:
| 35L65 | Hyperbolic conservation laws |
| 35L67 | Shocks and singularities for hyperbolic equations |
| 35M10 | PDEs of mixed type |
| 35B35 | Stability in context of PDEs |
| 76H05 | Transonic flows |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
Keywords:
dynamic stability; unsteady perturbation; normal shocks; 2-d nozzle; potential flow equation; corner singularityReferences:
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