[1] Danchin R. Global existence in critical spaces for compressible Navier-Stokes equations. Invent Math, 2000, 141: 579--614
[2] Deckelnick K. L2-decay for the compressible Navier-Stokes equations in unbounded domains. Comm Partial Diff Eqns, 1993, 18: 1445--1476
[3] Ducomet B, Feireisl E, Petzeltova H, Skraba I S. Global in time weak solution for compressible barotropic self-gravitating fluids. Discrete Continous Dynamical System, 2004, 11(1): 113--130
[4] Ducomet B. A remark about global existence for the Navier-Stokes-Poisson system. Applied Mathematics Letters, 1999, 12: 31--37
[5] Donatelli D. Local and global existence for the coupled Navier-Stokes-Poisson problem. Quart Appl Math, 2003, 61(2): 345--361
[6] Donatelli D, Marcati P. A quasineutral type limit for the Navier-Stokes-Poisson system with large data. Nonlinearity, 2008, 21(1): 135--148
[7] Duan R J, Ukai S, Yang T, Zhao H J. Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Math Models Methods Appl Sci, 2007, 17(5): 737--758
[8] Duan R J, Liu H, Ukai S, Yang T. Optimal Lp-Lq convergence rates for the compressible Navier-Stokes equations with potential force. J Diff Eqns, 2007, 238(1): 220--233
[9] Guo Y. Smooth irrotational fows in the large to the Euler-Poisson system. Comm Math Phys, 1998, 195: 249--265
[10] Hoff D, Zumbrun K. Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow. Indiana Univ Math J, 1995, 44: 603--676
[11] Hao C, Li H L. Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions. J Diff Eqns, 2009, 246: 4791--4812
[12] Ju Q, Li F, Li H L. The quasineutral limit of Navier-Stokes-Poisson system with heat conductivity and general initial data. J Differ Equ, 2009, 247: 203--224
[13] Ju Q, Li H L, Li Y. The quasineutral limit of full two fluid Euler-Poisson system. preprint
[14] 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
[15] Kobayashi T, Shibata Y. Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in R3. Comm Math Phys, 1999, 200: 621--659
[16] Li D L. The Green's function of the Navier-Stokes equations for gas dynamics in R3. Comm Math Phys, 2005, 257: 579--619
[17] Li H L, Matsumura A, Zhang G. Optimal decay rate of the compressible Navier-Stokes-Poisson system in R3. Arch Ration Mech Anal, 2010, 196: 681--713
[18] Li H L, Yang T, Zou C. Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Acta Math Sci, 2009, 29B: 1721--1736
[19] Lin Y Q. Global well-posedness of compressible Navier-Stokes-Poisson system in multi-dimensions. preprint 2009
[20] Liu T P, Wang W K. The pointwise estimates of diffusion waves for the Navier-Stokes equations in odd multi-dimensions. Comm Math Phys, 1998, 196: 145--173
[21] Matsumura A, Nishida T. The initial value problem for the equation of motion of compressible viscous and heat-conductive fluids. Proc Japan Acad, Ser A, 1979, 55: 337--342
[22] Matsumura A, Nishida T. The initial value problem for the equation of motion of viscous and heat-conductive gases. J Math Kyoto Univ, 1980, 20: 67--104
[23] Markowich P A, Ringhofer C A, Schmeiser C. Semiconductor Equations. Springer, 1990
[24] Ponce G. Global existence of small solution to a class of nonlinear evolution equations. Nonlinear Anal, 1985, 9: 339--418
[25] Ukai S, Yang T, Zhao H J. Convergence rate for the compressible Navier-Stokes equations with external force. J Hyperbolic Diff Eqns, 2006, 3: 561--574
[26] Wang S, Jiang S. The convergence of the Navier-Stokes-Poisson system to the incompressible Euler equations. Comm Partial Differential Equations, 2006, 31: 571--591
[27] Wang W, Wu Z, Yang T. Pointwise estimates of solution for the non-isentropic Navier-Stokes-Poisson equations in multi-dimensions. preprint 2009
[28] Zeng Y. L1 Asymptotic behavior of compressible isentropic viscous 1-D flow. Comm Pure Appl Math, 1994, 47: 1053--1082
[29] Zhang G, Li H L, Zhu C. Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in R3. J Diff Eqns, accepted 2010
[30] Zhang Y H, Tan Z. On the existence of solutions to the Navier-Stokes-Poisson equations of a two-dimensional compressible flow. Math Meth Appl Sci, 2007, 30: 305--329
[31] Zou C. Large time behavior of the isentropic bipolar compressible Navier-Stokes-Poisson system. preprint 2009
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