[1] Degond P. Some Current Topics on Nonlinear Conservation Laws. AMS/IP Studies in Advanced Mathe-matics Vol 15. Providence, RI: Amer Math Soc, 2000: 77–110
[2] Donatelli D. Local and global existence for the coupled Navier-Stokes-Poisson problem. Quart Appl Math, 2003, 61(2): 345–361
[3] 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
[4] Duan R J, Liu H X, 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
[5] Ducomet B, Feireisl E, Petzeltova H, Skraba I S. Global in time weak solution for compressible barotropic self-gravitating fluids. Disc Contin Dyn Sys, 2004, 11(1): 113–130
[6] Ducomet B. A remark about global existence for the Navier-Stokes-Poisson system. Appl Math Lett, 1999, 12: 31–37
[7] Hoff D, Zumbrun K. Multi-dimensional diffusion wave for the Navier-Stokes equations of compressible flow. Indiana Univ Math J, 1995, 44(2): 603–676
[8] Hoff D, Zumbrun K. Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves. Z Angew Math Phys, 1997, 48: 1–18
[9] Hsiao L, Markowich P A, Wang S. The asymptotic behavior of globally smooth solutions fo the multidi-mensional isentropic hydrodynamic model for semiconductors. J Diff Eqns, 2003, 192: 111–133
[10] Hsiao L, Li H L. Compressible navier-stokes-poisson equations. Acta Math Sci, 2010, 30B(6): 1937–1948
[11] Kawashima S. System of a hyperbolic-parabolic composite type, with applications to the equations of Manetohydrodynamics[D]. Kyoto: Kyoto University, 1983
[12] 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
[13] Li H L, Yang T, Zou C. Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Acta Math Sci, 2009, 29B(6): 1721–1736
[14] Li D L. The Green’s function of the Navier-Stokes equations for gas dynamics in R3. Comm Math Phys, 2005, 257: 579–619
[15] Liu T P, Wang W K. The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimension. Commum Math Phys, 1998, 196: 145–173
[16] Liu T P, Zheng Y N. Large time behavior of solutions general quasilinear hyperbolic-parabolic systems of conservation laws. Mem Amer Math Soc, 1997, 599
[17] 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
[18] 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
[19] Matsumura A, Nishida T. Initial boundary value problems for the equations of motion of compressible viscous and heat conductive fluids. Comm Math Phys, 1983, 89(2): 445–464
[20] Solonnikov V A. Evolution free boundary problem for equations of motion of viscous compressible self-gravitating fluid. SAACM 1993, 3: 257–275
[21] 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
[22] Wang W K, Yang T. The pointwise estimates of solutions for Euler-Equations with damping in multi-dimensions. J Diff Eqns, 2001, 173: 410–450
[23] Wang W K, Yang X F. The pointwise estimates of solutions to the isentropic Navier-Stokes equations in even space-dimensions. J Hyperbolic Diff Eqns, 2005, 2(3): 673–695
[24] Wang W K, Wu Z G. Pointwise estimates of solution for the Navier-Stokes-Poisson equations in multi-dimensions. J Diff Eqns, 2010, 248: 1617–1636
[25] Wang W K. Nonlinear evolution systems and green’s function. Acta Math Sci, 2010, 30B(6): 2051–2063
[26] Wu Z G. Regularity and asymptotic behavior of 1D compressible Navier-Stokes-Poisson equations with free boundary. J Math Anal Appl, 2011, 374: 29–48
[27] 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
[28] Zhang G J, Li H L, Zhu C J. Optimal decay rate of the non-isentropic Navier-Stokes-Poisson system in R3. J Diff Eqns, 2011, 250(2): 866–891
[29] Zhang T, Fang D Y. Global behavior of spherically symmetric Navier-Stokes-Poisson system with degen-erate viscosity coefficients. Arch Rational Mech Anal, 2009, 191: 195–243 |