Xiaohui Wang . CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET^*[J]. Acta mathematica scientia, Series B, 2024 , 44(1) : 234 -246 . DOI: 10.1007/s10473-024-0113-3

[1] Alt H W, Caffarelli L A. Existence and regularity for a minimum problem with free boundary. J Reine Angew Math, 1981, 325: 105-144
[2] Alt H W, Caffarelli L A, Friedman A. Axially symmetric jet flows. Arch Ration Mech Anal, 1983, 81(2): 97-149
[3] Alt H W, Caffarelli L A, Friedman A. Asymmetric jet flows. Comm Pure Appl Math, 1982, 35(1): 29-68
[4] Alt H W, Caffarelli L A, Friedman A. Jet flows with gravity. J Reine Angew Math, 1982, 331: 58-103
[5] Alt H W, Caffarelli L A, Friedman A. Compressible flows of jets and cavities. J Differ Equ, 1985, 56(1): 82-141
[6] Chen G Q, Deng X M, Xiang W. Global steady subsonic flows through infinitely long nozzles for the full Euler equations. SIAM J Math Anal, 2012, 44(4): 2888-2919
[7] Chen C, Du L L, Xie C J, Xin Z P. Two dimensional subsonic Euler flows past a wall or a symmetric body. Arch Ration Mech Anal, 2016, 221(2): 559-602
[8] Cheng J F, Du L L, Wang Y F. On incompressible oblique impinging jet flows. J Differ Equ, 2018, 265(10): 4687-4748
[9] Cheng J F, Du L L. Hydrodynamic jet incident on an uneven wall. Math Models Methods Appl Sci, 2018, 28(4): 771-827
[10] Cheng J F, Du L L, Xiang W. Incompressiple Réthy flows in two dimensions. SIAM J Math Anal, 2017, 49(5): 3427-3475
[11] Cheng J F, Du L L, Xiang W. Steady incompressible axially symmetric Réthy flows. Nonlinearity, 2020, 33(9): 4627-4669
[12] Caffarelli L A, Friedman A. Axially symmetric infinite cavities. Indiana Univ Math J, 1982, 31(1): 135-160
[13] Du L L, Duan B. Global subsonic Euler flows in an infinitely long axisymmetric nozzle. J Differ Equ, 2011, 250(2): 813-847
[14] Du L L, Duan B. Note on the uniqueness of subsonic Euler flows in an axisymmetric nozzle. Appl Math Lett, 2012, 25(2): 153-156
[15] Du L L, Duan B. Subsonic Euler flows with large vorticity through an infinitely long axisymmetric nozzle. J Math Fluid Mech, 2016, 18(3): 511-530
[16] Duan B, Luo Z. Three-dimensional full Euler flows in axisymmetric nozzles. J Differ Equ, 2013, 254 (7): 2705-2731
[17] Duan B, Luo Z. Subsonic non-isentropic Euler flows with large vorticity in axisymmetric nozzles. J Math Anal Appl, 2015, 430(2): 1037-1057
[18] Duan B, Lan A, Luo Z. Transonic shock solutions to the Euler system in divergent-convergent nozzles. Acta Math Sci, 2022, 42B(4): 1536-1546
[19] Du L L, Xie C J. On subsonic Euler flows with stagnation points in two dimensional nozzles. Indiana Univ Math J, 2014, 63(5): 1499-1523
[20] Du L L, Xie C J, Xin Z P. Steady subsonic ideal flows through an infinitely long nozzle with large vorticity. Comm Math Phys, 2014, 328(1): 327-354
[21] Friedman A.Variational Principles and Free Boundary Problems, Pure and Applied Mathematics. New York: John Wiley and Sons, 1982
[22] Friedman A. Axially symmetric cavities in rotational flows. Comm Partial Differential Equations, 1983, 8(9): 949-997
[23] Gilbarg D, Trudinger N S.Elliptic Partial Differential Equations of Second Order. Berlin: Springer-Verlag, 2001