[1] Carrillo, J.A., Goudon, T.: Stability and asymptotic analysis of a fluid-particle interaction model. Commun. Partial Differ. Equ. 31(79), 1349–1379 (2006)
[2] Chen, Y.Z., Hong, H., Shi, X.D.: Convergence rate of stationary solutions to outflow problem for full Navier-Stokes equations. Appl. Anal. 98(7), 1267–1288 (2019)
[3] Duan, R.J., Yang, X.F.: Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations. Commun. Pure Appl. Anal. 12, 985–1014 (2013)
[4] Fan, L.L., Liu, H.X., Wang, T., Zhao, H.J.: Inflow problem for the one-dimensional compressible Navier-Stokes equations under large initial perturbation. J. Differ. Equ. 257(10), 3521–3553 (2014)
[5] Hao, C.C., Li, H.L.: Well-posedness for a multidimensional viscous liquid-gas two-phase flow model. SIAM J. Math. Anal. 44, 1304–1332 (2012)
[6] Hong, H., Shi, X.D., Wang, T.: Stability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier-Stokes-Poisson system. J. Differ. Equ. 265(4), 1129–1155 (2018)
[7] Hong, H., Wang, T.: Stability of stationary solutions to the inflow problem for full compressible Navier-Stokes equations with a large initial perturbation. SIAM J. Math. Anal. 49(3), 2138–2166 (2017)
[8] Huang, F.M., Li, J., Shi, X.D.: Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space. Commun. Math. Sci. 8(3), 639–654 (2010)
[9] Huang, F.M., Matsumura, A., Shi, X.D.: Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas. Commun. Math. Phys. 239(1/2), 261–285 (2003)
[10] Huang, F.M., Qin, X.H.: Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation. J. Differ. Equ. 246(10), 4077–4096 (2009)
[11] Ishii, M., Hibiki, T.: Thermo-fluid Dynamics of Two-Phase Flow. Springer, New York (2006)
[12] Kagei, Y., Kawashima, S.: Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space. Commun. Math. Phys. 266(2), 401–430 (2006)
[13] Kawashima, S., Nakamura, T., Nishibata, S., Zhu, P.C.: Stationary waves to viscous heat-conductive gases in half-space: existence, stability and convergence rate. Math. Models Methods Appl. Sci. 20(12), 2201–2235 (2010)
[14] Kawashima, S., Nishibata, S., Zhu, P.C.: Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space. Commun. Math. Phys. 240, 483–500 (2003)
[15] Kawashima, S., Zhu, P.C.: Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space. J. Differ. Equ. 244(12), 3151–3179 (2008)
[16] Kawashima, S., Zhu, P.C.: Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half space. Arch. Ration. Mech. Anal. 194(1), 105–132 (2009)
[17] Li, H.L., Wang, T., Wang, Y.: Wave phenomena to the three-dimensional fluid-particle model, preprint (2020)
[18] Li, H.L., Zhao, S.: Existence and nonlinear stability of stationary solutions to the viscous two-phase flow model in a half line. Commun. Math. Res. 36(4), 423–459 (2020)
[19] Li, H.L., Zhao, S.: Existence and nonlinear stability of stationary solutions to the full two-phase flow model in a half line. Appl. Math. Lett. 116, 107039 (2021)
[20] Li, H.L., Zhao, S., Zuo, H.W.: Existence and nonlinear stability of steady-states to outflow problem for the full two-phase flow model. J. Differ. Equ. 309, 350–385 (2022)
[21] Matsumura, A.: Inflow and outflow problems in the half space for a one-dimensional isentropic model system of compressible viscous gas. Methods Appl. Anal. 8, 645–666 (2001)
[22] Matsumura, A., Nishihara, K.: Large-time behaviors of solutions to an inflow problem in the half space for a one-dimensional system of compressible viscous gas. Commun. Math. Phys. 222(3), 449–474 (2001)
[23] Mellet, A., Vasseur, A.: Asymptotic analysis for a Vlasov-Fokker-Planck/compressible Navier-Stokes system of equations. Commun. Math. Phys. 281(3), 573–596 (2008)
[24] Nakamura, T., Nishibata, S.: Convergence rate toward planar stationary waves for compressible viscous fluid in multidimensional half space. SIAM J. Math. Anal. 41(5), 1757–1791 (2009)
[25] Nakamura, T., Nishibata, S.: Stationary wave associated with an inflow problem in the half line for viscous heat-conductive gas. J. Hyperbolic Differ. Equ. 8(4), 651–670 (2011)
[26] Nakamura, T., Nishibata, S.: Existence and asymptotic stability of stationary waves for symmetric hyperbolic-parabolic systems in half-line. Math. Models Methods Appl. Sci. 27(11), 2071–2110 (2017)
[27] Nakamura, T., Nishibata, S., Usami, N.: Convergence rate of solutions towards the stationary solutions to symmetric hyperbolic-parabolic systems in half space. Kinet. Relat. Models 11(4), 757–793 (2018)
[28] Nakamura, T., Nishibata, S., Yuge, T.: Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line. J. Differ. Equ. 241, 94–111 (2007)
[29] Qin, X.H.: Large-time behaviour of solutions to the outflow problem of full compressible Navier-Stokes equations. Nonlinearity 24(5), 1369–1394 (2011)
[30] Qin, X.H., Wang, Y.: Stability of wave patterns to the inflow problem of full compressible Navier-Stokes equations. SIAM J. Math. Anal. 41(5), 2057–2087 (2009)
[31] Qin, X.H., Wang, Y.: Large-time behavior of solutions to the inflow problem of full compressible Navier-Stokes equations. SIAM J. Math. Anal. 43(1), 341–366 (2011)
[32] Wan, L., Wang, T., Zhao, H.J.: Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half-space. J. Differ. Equ. 261(11), 5949–5991 (2016)
[33] Wan, L., Wang, T., Zou, Q.Y.: Stability of stationary solutions to the outflow problem for full compressible Navier-Stokes equations with large initial perturbation. Nonlinearity 29(4), 1329–1354 (2016)
[34] Wen, H.Y., Yao, L., Zhu, C.J.: Review on mathematical analysis of some two-phase flow models. Acta Math. Sci. Ser. B (Engl. Ed.) 38(5), 1617–1636 (2018)
[35] Wen, H.Y., Zhu, C.J.: Remarks on global weak solutions to a two-fluid type model. Commun. Pure Appl. Anal. 20(7/8), 2839–2856 (2021)
[36] Yin, H.Y., Zhang, J.S., Zhu, C.J.: Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier-Stokes-Poisson system. Nonlinear Anal. Real World Appl. 31, 492–512 (2016)
[37] Yin, H.Y., Zhu, C.J.: Convergence rate of solutions toward stationary solutions to a viscous liquid-gas two-phase flow model in a half line. Commun. Pure Appl. Anal. 14(5), 2021–2042 (2015)
[38] Zhou, F., Li, Y.P.: Convergence rate of solutions toward stationary solutions to the bipolar Navier-Stokes-Poisson equations in a half line. Bound. Value Probl. 2013, 124 (2013)
