[1] Bers L, Existence and uniqueness of a subsonic flow past a given profile. Comm Pure Appl Math, 1954, 7:441-504 [2] Chen C, Du L, Xie C, et al. Two dimensional subsonic Euler flows past a wall or a symmetric body. Arch Ration Mech Anal, 2016, 221(2):559-602 [3] Cui D C, Li J. On the existence and stability of 2-D perturbed steady subsonic circulatory flows. Sci China Math, 2011, 54(7):1421-1436 [4] Chen G Q, Dafermos C M, Slemrod M, et al, On two-dimensional sonic-subsonic flow. Commun Math Phys, 2007, 271:635-647 [5] Chen G Q, Frid H, Divergence-measure fields and hyperbolic conservation laws. Arch Rational Mech Anal, 1999, 147:89-118 [6] Chen G Q, Huang F M, Wang T Y. Subsonic-sonic limit of approximate solutions to multidimensional steady Euler equations. Arch Ration Mech Anal, 2016, 219(2):719-740 [7] Courant R, Friedrichs K O. Supersonic Flow and Shock Waves. New York:Interscience Publishers Inc, 1948 [8] Duan B, Weng S. Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle. Z Angew Math Phys, 2018, 69(5):Paper No 135, 17 pp [9] Dong G C, Ou B, Subsonic flows around a body in space. Comm Partial Differential Equations, 1993, 18:355-379 [10] Du L, Xin Z, Yan W, Subsonic flows in a multi-dimensional nozzle. Arch Ration Mech Anal, 2011, 201:965-1012 [11] Du L, Xie C, Xin Z, Steady subsonic ideal flows through an infinitely long nozzle with large vorticity. Commun Math Phys, 2014, 328:327-354 [12] Finn R, Gilbarg D, Asymptotic behavior and uniqueness of plane subsonic flows. Comm Pure Appl Math, 1957, 10:23-63 [13] Finn R, Gilbarg D, Three-dimensional subsonic flows and asymptotic estimates for elliptic partial differential equations. Acta Math, 1957, 98:265-296 [14] Frankl F, Keldysh M, Dieäussere neumann'she aufgabe für nichtlineare elliptische differentialgleichungen mit anwendung auf die theorie der flugel im kompressiblen gas. Bull Acad Sci, 1934, 12:561-697 [15] Gilbarg D, Trudinger N. Elliptic partial differential equations of second order. Second Edition. New York:Springer-Verlag, 1983 [16] Gu X, Wang T Y. On subsonic and subsonic-sonic flows in the infinity long nozzle with general conservatives force. Acta Math Sci, 2017, 37B(3):752-767 [17] Gu X, Wang T Y. On subsonic and subsonic-sonic flows with general conservatives force in exterior domains. arxiv:2001.09300 [18] Huang F M, Wang T Y, Wang Y. On multidimensional sonic-subsonic flow. Acta Math Sci, 2011, 31B(6):2131-2140 [19] Liu L, Yuan H. Steady subsonic potential flows through infinite multi-dimensional largely-open nozzles. Calc Var Partial Differ Equ, 2014, 49(1/8):1-36 [20] Ou B. An irrotational and incompressible flow around a body in space. J Partial Differential Equations, 1994, 7(2):160-170 [21] Shiffman M, On the existence of subsonic flows of a compressible fluid. J Rational Mech Anal, 1952, 1:605-652 [22] Weng S. Subsonic irrotational flows in a two-dimensional finitely long curved nozzle. Z Angew Math Phys, 2014, 65(2):203-220 [23] Weng S, Xin Z, Yuan H, Steady compressible radially symmetric flows with nonzero angular velocity in an annulus. J Differential Equations, 2021, 286:433-454 [24] Weng S, Xin Z, Yuan H. On Some Smooth Symmetric Transonic Flows with Nonzero Angular Velocity and Vorticity. arXiv:2101.00450 [25] Xie C, Xin Z, Global subsonic and subsonic-sonic flows through infinitely long nozzles. Indiana Univ Math J, 2007, 56:2991-3023 [26] Xie C, Xin Z. Global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles. J Differential Equations 2010, 248(11):2657-2683 |