[1] Caflisch R E, Nicolaenko B. Shock profile solutions of the Boltzmann equation. Comm Math Phys, 1982, 86(2):161-194
[2] Carrillo J A, Labrunie S. Global solutions for the one-dimensional Vlasov-Maxwell system for laser-plasma interaction. Math Methods Appl Sci, 2006, 16(1):19-57
[3] Cercignani C, Illner R, Pulvirenti M. The mathematical theory of dilute gases. Springer, 1994
[4] Chapman S, Cowling T G. The mathematical theory of non-uniform gases:an account of the kinetic theory of viscosity, thermal conduction and diffusion in gases. Cambridge university press, 1970
[5] Cho Y, Choe H-J, Kim H. Unique solvability of the initial boundary value problems for compressible viscous fluids. J Math Pures Appl, 2004, 83(2):243-275
[6] Degond P. Mathematical modelling of microelectronics semiconductor devices. some current topics on nonlinear conservation laws. Stud Adv Math, 2000, 15:77-110
[7] Duan R J, Liu S Q, Yang T, Zhao H J. Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Kinet Relat Models, 2013, 6(1):159-204
[8] Duan R J, Yang X F. Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations. Comm Pure Appl Anal, 2013, 12(2):985-1014
[9] Duan R J. Green's function and large time behavior of the Navier-Stokes-Maxwell system. Anal Appl, 2012, 10(2):133-197
[10] Duan R J, Liu S Q. Global stability of the rarefaction wave of the Vlasov-Poisson-Boltzmann system. SIAM J Math Anal, 2015, 47(5):3585-3647
[11] Duan R J, Liu S Q. Stability of rarefaction waves of the Navier-Stokes-Poisson system. J Differential Equation, 2015, 258(7):2495-2530
[12] Duan R J, Liu S Q. The Vlasov-Poisson-Boltzmann system for a disparate mass binary mixture. J Stat Phys, 2017, 169(3):614-684
[13] Duan R J, Liu S Q. Yin H Y, Zhu C J. Stability of the rarefaction wave for a two-fluid plasma model with diffusion. Sci China Math, 2016, 59(1):67-84
[14] Duan R J, Strain R M. Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space. Comm Pure Appl Math, 2011, 64(11):1497-1546
[15] Glassey R, Schaeffer J. On the "one and one-half dimensional" relativistic Vlasov-Maxwell system. Math Meth Appl Sci, 1990, 13(2):169-179
[16] Glassey R T. The Cauchy problem in kinetic theory. SIAM, 1996
[17] Guo Y. The Vlasov-Maxwell-Boltzmann system near Maxwellians. Invent Math, 2003, 153(3):593-630
[18] Hou X F, Yao L, Zhu C J. Existence and uniqueness of global strong solutions to the Navier-Stokes-Maxwell system with large initial data and vacuum. Sci Sin Math, 2016, 46(7):945-996
[19] Huang F M, Xin Z P, Yang T. Contact discontinuity with general perturbations for gas motions. Adv Math, 2008, 219(4):1246-1297
[20] Huang F M, Yang T. Stability of contact discontinuity for the Boltzmann equation. J Differential Equations, 2006, 229(2):698-742
[21] Huang Y T. Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff. J Differential Equations, 2016, 260(3):2611-2689
[22] Jang J-H. Vlasov-Maxwell-Boltzmann diffusive limit. Arch Ration Mech Anal, 2009, 194(2):531-584
[23] Jiang M N, Lai S H, Yin H Y, Zhu C J. The stability of stationary solution for outflow problem on the Navier-Stokes-Poisson system. Acta Mathematica Scientia, 2016, 36B(4):1098-1116
[24] Levermore C D, Masmoudi N. From the Boltzmann equation to an incompressible Navier-Stokes-Fourier system. Arch Ration Mech Anal, 2010, 196(3):753-809
[25] Li H L, Wang Y, Yang T, Zhong M Y. Stability of wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Arch Ration Mech Anal, 2018, 228(1):39-127
[26] Li H L, Yang T, Zhong M Y. Spectrum structure and behaviors of the Vlasov-Maxwell-Boltzmann systems. SIAM J Math Anal, 2016, 48(1):595-669
[27] Liu Q Q, Yin H Y, Zhu C J. Asymptotic stability of the compressible Euler-Maxwell equations to EulerPoisson equations. Indiana University Math J, 2014, 63(4):1085-1108
[28] Liu S Q, Yin H Y, Zhu C J. Stability of contact discontinuity for the Navier-Stokes-Poisson system with free boundary. Comm Math Sci, 2016, 14(7):1859-1887
[29] Liu T-P, Yang Y, Yu S-H. Energy method for Boltzmann equation. Phys D, 2004, 188(3/4):178-192
[30] Liu T-P, Yang Y, Yu S-H, Zhao H J. Nonlinear stability of rarefaction waves for the Boltzmann equation. Arch Ration Mech Anal, 2006, 181(2):333-371
[31] Liu T-P, Yu S-H. Boltzmann equation:micro-macro decompositions and positivity of shock profiles. Comm Math Phys, 2004, 246(1):133-179
[32] Matsumura A, Nishihara K. Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas. Japan J Appl Math, 1986, 3(1):1-13
[33] Ruan L Z, Yin H Y, Zhu C J, Stability of the superposition of rarefaction wave and contact discontinuity for the non-isentropic Navier-Stokes-Poisson equations with free boundary. Math Method Appl Sci, 2017, 40(5):2784-2810
[34] Smoller J. Shock waves and reaction-diffusion equations. Springer-Verlag, 1983
[35] Strain R M. The Vlasov-Maxwell-Boltzmann system in the whole space. Comm Math Phys, 2006, 268(2):543-567
[36] Xin Z P, Yang T, Yu H J. The Boltzmann equation with soft potentials near a local Maxwellian. Arch Ration Mech Anal, 2012, 206(1):239-296
[37] Yang T, Zhao H J. A new energy method for the Boltzmann equation. J Math Phys, 2006, 47(5):053301-19
[38] 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, 14(3):735-776
[39] Yu S-H. Nonlinear wave propagations over a Boltzmann shock profile. J Amer Math Soc, 2010, 23(4):1041-1118
