Boltzmann equation: micro-macro decompositions and positivity of shock profiles TP Liu, SH Yu Communications in mathematical physics 246 (1), 133-179, 2004 | 289 | 2004 |

Energy method for Boltzmann equation TP Liu, T Yang, SH Yu Physica D: Nonlinear Phenomena 188 (3-4), 178-192, 2004 | 265 | 2004 |

The Green's function and large‐time behavior of solutions for the one‐dimensional Boltzmann equation TP Liu, SH Yu Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2004 | 143 | 2004 |

Zero-dissipation limit of solutions with shocks for systems of hyperbolic conservation laws SH Yu Archive for rational mechanics and analysis 146, 275-370, 1999 | 93 | 1999 |

Nonlinear boundary layers of the Boltzmann equation: I. Existence S Ukai, T Yang, SH Yu Communications in mathematical physics 236, 373-393, 2003 | 90 | 2003 |

Nonlinear stability of rarefaction waves for the Boltzmann equation TP Liu, T Yang, SH Yu, HJ Zhao Archive for rational mechanics and analysis 181, 333-371, 2006 | 87 | 2006 |

Green's function of Boltzmann equation, 3-D waves T Liu, S Yu BULLETIN-INSTITUTE OF MATHEMATICS ACADEMIA SINICA 1 (1), 1, 2006 | 84 | 2006 |

Propagation of a stationary shock layer in the presence of a boundary TP Liu, SH Yu Archive for Rational Mechanics and Analysis 139 (1), 57-82, 1997 | 84* | 1997 |

Initial‐boundary value problem for one‐dimensional wave solutions of the Boltzmann equation TP Liu, SH Yu Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007 | 60 | 2007 |

Solving Boltzmann equation, part I: Green’s function TP Liu, SH Yu Bull. Inst. Math. Acad. Sin.(NS) 6 (2), 115-243, 2011 | 48 | 2011 |

Nonlinear wave propagations over a Boltzmann shock profile SH Yu Journal of the American Mathematical Society 23 (4), 1041-1118, 2010 | 48 | 2010 |

Continuum shock profiles for discrete conservation laws I: Construction TP Liu, SH Yu Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1999 | 47 | 1999 |

Invariant manifolds for steady Boltzmann flows and applications TP Liu, SH Yu Archive for Rational Mechanics and Analysis 209, 869-997, 2013 | 39 | 2013 |

Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case *M* ^{ ∞ }<−1S Ukai, T Yang, SH Yu Communications in mathematical physics 244, 99-109, 2004 | 38 | 2004 |

Large-time behavior of solutions for the Boltzmann equation with hard potentials MY Lee, TP Liu, SH Yu Communications in mathematical physics 269 (1), 17-37, 2007 | 26 | 2007 |

Nonlinear Stability of Weak Detonation Waves¶ for a Combustion Model TP Liu, SH Yu Communications in mathematical physics 204, 551-586, 1999 | 25 | 1999 |

The asymptotic behavior of the hyperbolic conservation laws with relaxation on the quarter-plane S Nishibata, SH Yu SIAM Journal on Mathematical Analysis 28 (2), 304-321, 1997 | 25 | 1997 |

Stochastic formulation for the initial-boundary value problems of the Boltzmann equation SH Yu | 24 | 2009 |

On boundary relation for some dissipative systems TP Liu, SH Yu Bull. Inst. Math. Acad. Sin.(NS) 6 (3), 245-267, 2011 | 23 | 2011 |

On the solution of a Boltzmann system for gas mixtures A Sotirov, SH Yu Archive for rational mechanics and analysis 195, 675-700, 2010 | 21 | 2010 |