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Direct problem and inverse problem for the supersonic plane flow past a curved wedge

✍ Scribed by Libin Wang

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
175 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper, we consider the isentropic irrotational steady plane flow past a curved wedge. First, for a uniform supersonic oncoming flow, we study the direct problem: For a given curved wedge y D f .x/, how to globally determine the corresponding shock y D g.x/ and the solution behind the shock? Then, we solve the corresponding inverse problem: How to globally determine the curved wedge y D f .x/ under the hypothesis that the position of the shock y D g.x/ and the uniform supersonic oncoming flow are given? This kind of problems plays an important role in the aviation industry. Under suitable assumptions, we obtain the global existence and uniqueness for both problems.

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