The sonic line as a free boundary. (English) Zbl 1263.35159
The authors consider the steady transonic small disturbance equations in the strip and reduce the system to a single variable. The solution is constructed and also obtained by means of the hodograph transformation and the Fourier transform. The class of problems that allow solving by the same technique, is described.
Reviewer: Ilya A. Chernov (Petrozavodsk)
MSC:
| 35L65 | Hyperbolic conservation laws |
| 35M30 | Mixed-type systems of PDEs |
| 76H05 | Transonic flows |
| 35R35 | Free boundary problems for PDEs |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 35Q31 | Euler equations |
Keywords:
hodograph transformation; partial Fourier transform; steady transonic flow; steady Euler systemReferences:
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