[1] Bakker, P., Bannink, W., Reyn, J.: Potential flow near conical stagnation points. J. Fluid Mech. 105, 239–260 (1981)
[2] Chen, S., Li, D.: Conical shock waves for isentropic Euler system. Proc. R. Soc. Edinb. 135A, 1109–1127 (2005)
[3] Chen, S., Li, D.: Conical shock waves in supersonic flow. J. Differ. Equ. 269, 595–611 (2020)
[4] Chen, S., Xin, Z., Yin, H.: Global shock wave for the supersonic flow past a perturbed cone. Commun. Math. Phys. 228, 47–84 (2002)
[5] Courant, R., Friedrichs, K.: Supersonic Flow and Shock Waves. Interscience, New York (1948)
[6] Cui, D., Yin, H.: Global supersonic conic shock wave for the steady supersonic flow past a cone: polytropic gas. J. Differ. Equ. 246, 641–669 (2009)
[7] Dai, Z., Zhang, T.: Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics. Arch. Ration. Mech. Anal. 155, 277–298 (2000)
[8] Ferri, A.: Supersonic flow around circular cones at angles of attack. NACA Rep. No. 1045, 1–11 (1951)
[9] Guan, J., Sritharan, S.: A hyperbolic-elliptic type conservation law on unit sphere that arises in delta wing aerodynamics. Int. J. Contemp. Math. Sci. 3, 721–737 (2008)
[10] Holloway, I., Sritharan, S.: Compressible Euler equations on a sphere and elliptic-hyperbolic property. IMA J. Appl. Math. 86, 165–187 (2021)
[11] Hu, Y., Chen, J.: Sonic-supersonic solutions to a mixed-type boundary value problem for the 2-D full Euler equations. SIAM J. Math. Anal. 53, 1579–1629 (2021)
[12] Hu, Y., Li, F.: On a degenerate hyperbolic problem for the 3-D steady full Euler equations with axial-symmetry. Adv. Nonlinear Anal. 10, 584–615 (2021)
[13] Hu, Y., Li, J.: Sonic-supersonic solutions for the two-dimensional steady full Euler equations. Arch. Ration. Mech. Anal. 235, 1819–1871 (2020)
[14] Hu, Y., Li, J.: On a global supersonic-sonic patch characterized by 2-D steady full Euler equations. Adv. Differ. Equ. 25, 213–254 (2020)
[15] Lai, G., Sheng, W.: Centered wave bubbles with sonic boundary of pseudosteady Guderley Mach reflection configurations in gas dynamics. J. Math. Pure Appl. 104, 179–206 (2015)
[16] Li, F., Hu, Y.: On a degenerate mixed-type boundary value problem to the 2-D steady Euler equations. J. Differ. Equ. 267, 6265–6289 (2019)
[17] Li, J., Witt, I., Yin, H.: On the global existence and stability of a three-dimensional supersonic conic shock wave. Commun. Math. Phys. 329, 609–640 (2014)
[18] Li, J., Zheng, Y.: Interaction of rarefaction waves of the two-dimensional self-similar Euler equations. Arch. Ration. Mech. Anal. 193, 623–657 (2009)
[19] Li, J., Zheng, Y.: Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations. Commun. Math. Phys. 296, 303–321 (2010)
[20] Li, L., Xu, G., Yin, H.: On the instability problem of a 3-D transonic oblique shock wave. Adv. Math. 282, 443–515 (2015)
[21] Li, M., Zheng, Y.: Semi-hyperbolic patches of solutions of the two-dimensional Euler equations. Arch. Ration. Mech. Anal. 201, 1069–1096 (2011)
[22] Lien, W., Liu, T.: Nonlinear stability of a self-similar 3-dimensional gas flow. Commun. Math. Phys. 204, 525–549 (1999)
[23] Melnik, R.: Vortical singularities in conical flow. AIAA J. 5, 631–637 (1967)
[24] Nikolskii, A., Taganov, G.: Gas motion in a local supersonic region and conditions of potential flow breakdown, NACA Technical Memorandum, No. 1213 (1949)
[25] Reyn, J.: Differential-geometric considerations on the hodograph transformation for irrotational conical flows. Arch. Ration. Mech. Anal. 6, 299–354 (1960)
[26] Salas, M.: Flow patterns near a conical sonic line. In: 17th Aerospace Sciences Meeting, New Orleans, LA, No. 79-0341 (1979)
[27] Sheng, W., You, S.: Interaction of a centered simple wave and a planar rarefaction wave of the two-dimensional Euler equations for pseudo-steady compressible flow. J. Math. Pures Appl. 114, 29–50 (2018)
[28] Smith, J.: Remarks on the structure of conical flow. Prog. Aerospace Sci. 12, 241–272 (1972)
[29] Song, K., Wang, Q., Zheng, Y.: The regularity of semihyperbolic patches near sonic lines for the 2-D Euler system in gas dynamics. SIAM J. Math. Anal. 47, 2200–2219 (2015)
[30] Sritharan, S.: Nonlinear aerodynamics of conical delta wings. Ph.D. thesis, Applied Mathematics, University of Arizona, Tucson, USA (1982)
[31] Sritharan, S.: Delta wings with shock-free cross flow. Quart. Appl. Math. 43, 275–286 (1985)
[32] Stocker, P., Mauger, F.: Supersonic flow past cones of general cross-section. J. Fluid Mech 13, 383–399 (1962)
[33] Xu, G., Yin, H.: Global multidimensional transonic conic shock wave for the perturbed supersonic flow past a cone. SIAM J. Math. Anal. 41, 178–218 (2009)
[34] Xu, G., Yin, H.: Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone. Nagoya Math. J. 199, 151–181 (2010)
[35] Xu, G., Yin, H.: Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone. Quart. Appl. Math. 70, 199–218 (2012)
[36] Zhang, T., Zheng, Y.: Sonic-supersonic solutions for the steady Euler equations. Indiana Univ. Math. J. 63, 1785–1817 (2014)