References
- Chen F. Introduction to plasma physics and controlled fusion. New York: Plenum Press; 1984.
- Markowich PA, Ringhofer CA, Schmeiser C. Semiconductor equations. New York: Springer; 1990.
- Donatelli D. Local and global existence for the coupled Navier-Stokes-Poisson problem. Quart Appl Math. 2003;61:345–361.
- 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. 2013;12:985–1014.
- Hao C-C, Li H-L. Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions. J Differ Equ. 2009;246:4791–4812.
- 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. 2009;246:4077–4096.
- 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. 2018;265:1129–1155.
- Matsumura A, Nishihara K. Large-time behavior of solutions to an inflow problem in the half space for a one-dimensional system of compressible viscous gas. Comm Math Phys. 2001;222:449–474.
- Tan Z, Yang T, Zhao H-J, et al. Global solutions to the one-dimensional compressible Navier-Stokes-Poisson equations with large data. SIAM J Math Anal. 2013;45:547–571.
- 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. 2016;31:492–512.
- Hsiao L, Li H-L. Compressible Navier-Stokes-Poisson equations. Acta Math Sci B. 2010;30:1937–1948.
- Li H-L, Yang T, Zou C. Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Acta Math Sci B. 2009;29:1721–1736.
- Li H-L, Matsumura A, Zhang G-J. Optimal decay rate of the compressible Navier-Stokes-Poisson system in R3. Arch Ration Mech Anal. 2010;196:681–713.
- Zhang G-J, Li H-L, Zhu C-J. Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in R3. J Differ Equ. 2011;250:866–891.
- Donatelli D, Marcati P. A quasineutral type limit for the Navier-Stokes-Poisson system with large data. Nonlinearity. 2008;21:135–148.
- Wang S, Jiang S. The convergence of the Navier-Stokes-Poisson system to the incompressible Euler equations. Comm Partial Differ Equ. 2006;31:571–591.
- Kawashima S, Nishibata S, Zhu P-C. Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space. Comm Math Phys. 2003;240:483–500.
- 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. 2007;241:94–111.
- Kagei Y, Kawashima S. Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space. Comm Math Phys. 2006;266:401–430.
- Nakamura T, Nishibata S. Convergence rate toward planar stationary waves for compressible viscous fluid in multidimensional half space. SIAM J Math Anal. 2009;41:1757–1791.
- 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;2013:124. 22 pp.
- Wang L, Zhang G-J, Zhang K-J. Existence and stability of stationary solution to compressible Navier-Stokes-Poisson equations in half line. Nonlinear Anal Theory Methods Appl. 2016;145:97–117.
- Suzuki M. Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics. Kinet Relat Models. 2011;4:569–588.
- Lawrence P. Differential equations and dynamical systems. New York: Springer; 2012.
- Matsumura A, Nishihara K. Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity. Comm Math Phys. 1994;165:83–96.