We study a free boundary value problem of the Euler system arising in the inviscid steady supersonic flow past a symmetric curved cone. The existence and stability of piesewise smooth weak entropy solutions was established, provided the cone is a small perturbation of its tangential cone with a vertex angle less than a given value determined by the parameters of the coming flow. Since the change of the entropy of the flow is also considered, the result in this paper gives a more precise description than previous ones on such problems.
@article{1113247182,
author = {Chen, Shuxing},
title = {A free boundary value problem of Euler system arising in supersonic flow past a curved cone},
journal = {Tohoku Math. J. (2)},
volume = {54},
number = {1},
year = {2002},
pages = { 105-120},
language = {en},
url = {http://dml.mathdoc.fr/item/1113247182}
}
Chen, Shuxing. A free boundary value problem of Euler system arising in supersonic flow past a curved cone. Tohoku Math. J. (2), Tome 54 (2002) no. 1, pp. 105-120. http://gdmltest.u-ga.fr/item/1113247182/