A smooth transonic flow in the plane
Copyright policy )A smooth transonic flow in the plane
The implicit function theorem is used to study a symmetric exterior problem for the gas dynamics equation—an equation of mixed type. The existence of families of smooth C1 solutions is demonstrated. These solutions are families of smooth transonic flows in the plane and are of applied interest. Some of these results have appeared in the literature with an incorrect derivation using the Hodograph mapping. This mapping is not invertible in the transonic case. The methods of this paper do not use the Hodograph mapping and extend to general (e.g., plasma) flows.
- Johns Hopkins University United States
- Institute for Advanced Study United States
Local and global existence and uniqueness theorems, spiral flow, Shock solutions, purely rotational vortex flow, family of smooth transonic flows, Transonic flows, purely radial source flow, irrotational, stationary polytropic flow around a circle
Local and global existence and uniqueness theorems, spiral flow, Shock solutions, purely rotational vortex flow, family of smooth transonic flows, Transonic flows, purely radial source flow, irrotational, stationary polytropic flow around a circle
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