Hydrodynamic Limit of the Boltzmann Equation with Contact Discontinuities
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[1] Kiyoshi Asano,et al. The Euler limit and initial layer of the nonlinear Boltzmann equation , 1983 .
[2] Jonathan Goodman,et al. Nonlinear asymptotic stability of viscous shock profiles for conservation laws , 1986 .
[3] L. Peletier,et al. Similarity solutions of the nonlinear diffusion equation , 1974 .
[4] On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary , 2004 .
[5] Tai-Ping Liu,et al. Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles , 2004 .
[6] J. Smoller. Shock Waves and Reaction-Diffusion Equations , 1983 .
[7] R. Illner,et al. The mathematical theory of dilute gases , 1994 .
[8] François Golse,et al. Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation , 1993 .
[9] Huijiang Zhao,et al. Global Existence of Classical Solutions to the Vlasov-Poisson-Boltzmann System , 2006 .
[10] L. A. Peletier,et al. A class of similarity solutions of the nonlinear diffusion equation , 1977 .
[11] Zhouping Xin,et al. Stability of Contact Discontinuities for the 1-D Compressible Navier-Stokes Equations , 2006 .
[12] R. Caflisch. The fluid dynamic limit of the nonlinear boltzmann equation , 1980 .
[13] Harold Grad,et al. Asymptotic Theory of the Boltzmann Equation , 1963 .
[14] Huijiang Zhao,et al. Nonlinear Stability of Rarefaction Waves for the Boltzmann Equation , 2006 .
[15] Shi-Hsien Yu,et al. Hydrodynamic limits with shock waves of the Boltzmann equation , 2005 .
[16] Zhouping Xin,et al. Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases , 1993 .
[17] On the Global Stability of Contact Discontinuity for Compressible Navier-Stokes Equations. , 2003 .
[18] S. Ukai,et al. On the existence of global solutions of mixed problem for non-linear Boltzmann equation , 1974 .
[19] R. H. Fowler. The Mathematical Theory of Non-Uniform Gases , 1939, Nature.
[20] Yan Guo,et al. The Boltzmann equation in the whole space , 2004 .
[21] Kenji Nishihara,et al. On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas , 1985 .
[22] Tai-Ping Liu,et al. Nonlinear Stability of Shock Waves for Viscous Conservation Laws , 1985 .
[23] Shuichi Kawashima,et al. Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion , 1985 .
[24] F. Huang,et al. Large time behavior of the solutions to the Boltzmann equation with specular reflective boundary condition , 2007 .
[25] Ludwig Boltzmann,et al. Lectures on Gas Theory , 1964 .
[26] P. Lions,et al. On the Cauchy problem for Boltzmann equations: global existence and weak stability , 1989 .
[27] T. Nishida. Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation , 1978 .
[28] Zhouping Xin,et al. Contact discontinuity with general perturbations for gas motions , 2008 .
[29] F. Golse,et al. Fluid dynamic limits of kinetic equations. I. Formal derivations , 1991 .
[30] J. Maxwell. The Scientific Papers of James Clerk Maxwell , 2009 .
[31] Mirosław Lachowicz,et al. On the initial layer and the existence theorem for the nonlinear Boltzmann equation , 1986 .
[32] Zhouping Xin,et al. Pointwise decay to contact discontinuities for systems of viscous conservation laws , 1997 .
[33] Z. Xin,et al. Viscous limits for piecewise smooth solutions to systems of conservation laws , 1992 .
[34] Tai-Ping Liu,et al. Energy method for Boltzmann equation , 2004 .