Year: 2024
Author: Yongqian Zhang
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 2 : pp. 287–313
Abstract
This paper studies an inverse problem of reconstructing the shape of the circular symmetric cone for the given leading shock front. Assuming that the attack angle is small and that the incoming flow has a large Mach Number, we show that the shape of the cone can be reconstructed near the vertex from the data of the given shock and establish an asymptotic expansion for the velocity and the slope of cone.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2024-0012
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 2 : pp. 287–313
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Inverse problem steady supersonic potential flow conical shock cone.