TY - JOUR
T1 - A Local Inverse Conical Shock Problem for the Steady Supersonic Potential Flow
AU - Zhang , Yongqian
JO - Communications in Mathematical Analysis and Applications
VL - 2
SP - 287
EP - 313
PY - 2024
DA - 2024/07
SN - 3
DO - http://doi.org/10.4208/cmaa.2024-0012
UR - https://global-sci.org/intro/article_detail/cmaa/23230.html
KW - Inverse problem, steady supersonic potential flow, conical shock, cone.
AB - <p style="text-align: justify;">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.</p>