Deng, Shijin; Wang, Weike; Yu, Shih-Hsien Pointwise convergence to a

Maxwellian for a Broadwell model with a supersonic boundary. Netw. Heterog.

Media 2 (2007), no. 3, 383395

 

Liu, Tai-Ping; Yu, Shih-Hsien Initial-boundary value problem for one-dimensional

wave solutions of the Boltzmann equation. Comm. Pure Appl. Math. 60 (2007),

no. 3, 295--356.

 

Lee, Ming-Yi; Liu, Tai-Ping; Yu, Shih-Hsien Large-time behavior of solutions for

the Boltzmann equation with hard potentials. Comm. Math. Phys. 269 (2007), no.

1, 1737

 

Yu, Shih-Hsien The development of the Green's function for the Boltzmann

equation. J. Stat. Phys. 124 (2006), no. 2-4, 301320

 

Liu, Tai-Ping; Yu, Shih-Hsien Green's function of Boltzmann equation, 3-D waves.

Bull. Inst. Math. Acad. Sin. (N.S.) 1 (2006), no. 1, 178

 

Lan, Chiu-Ya; Lin, Huey-Er; Yu, Shih-Hsien The Green's functions for the

Broadwell model in a half space problem. Netw. Heterog. Media 1 (2006), no. 1,

167183

 

Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien; Zhao, Hui-Jiang Nonlinear stability of

rarefaction waves for the Boltzmann equation. Arch. Ration. Mech. Anal. 181

(2006), no. 2, 333--371.

 

Yu, Shih-Hsien Hydrodynamic limits with shock waves of the Boltzmann equation.

Comm. Pure Appl. Math. 58 (2005), no. 3, 409--443.

 

Lan, Chiu-Ya; Lin, Huey-Er; Liu, Tai-Ping; Yu, Shih-Hsien Propagation of viscous

shock waves away from the boundary. SIAM J. Math. Anal. 36 (2004), no. 2,

580617

 

Liu, Tai-Ping; Yu, Shih-Hsien The Green's function and large-time behavior of

solutions for the one-dimensional Boltzmann equation. Comm. Pure Appl. Math.

57 (2004), no. 12, 1543--1608.

 

Liu, Tai-Ping; Yu, Shih-Hsien Boltzmann equation: micro-macro decompositions

and positivity of shock profiles. Comm. Math. Phys. 246 (2004), no. 1, 133--179.

 

Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien Energy method for Boltzmann equation.

Phys. D 188 (2004), no. 3-4, 178192

 

Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien Nonlinear stability of boundary layers of

the Boltzmann equation. I. The case $\scr M\sp \infty<-1$. Comm. Math. Phys.

244 (2004), no. 1, 99109

 

Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien Entropy pairs for conservation laws

and $H$-theorem for the Boltzmann equation. Lectures on partial differential

equations, 167--174, New Stud. Adv. Math., 2, Int. Press, Somerville, MA, 2003.

Ukai, Seiji; Tang, Tong; Yu, Shih-Hsien Nonlinear boundary layers of the

Boltzmann equation. Hyperbolic problems: theory, numerics, applications, 103--

110, Springer, Berlin, 2003.

 

Liu, Tai-Ping; Yu, Shih-Hsien Energy method for equations in gas dynamics.

Hyperbolic problems: theory, numerics, applications, 53--60, Springer, Berlin,

2003.

 

Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien Nonlinear boundary layers of the

Boltzmann equation. I. Existence. Comm. Math. Phys. 236 (2003), no. 3, 373--

393.

 

Ha, Seung-Yeal; Yu, Shih-Hsien Wave front tracing and asymptotic stability of

planar travelling waves for a two-dimensional shallow river model. J. Differential

Equations 186 (2002), no. 1, 230--258.

 

Ukai, Seiji; Tang, Tong; Yu, Shih-Hsien Nonlinear boundary layers of the

Boltzmann equation. Mathematical analysis in fluid and gas dynamics (Japanese)

(Kyoto, 2001). S\=urikaisekikenky\=usho K\=oky\=uroku No. 1247 (2002),

208--215.

 

Yu, Shih-Hsien Small divisor and discrete shock profile. Mathematical analysis of

liquids and gases (Japanese) (Kyoto, 1999). S\=urikaisekikenky\=usho

K\=oky\=uroku No. 1146 (2000), 198208

Liu, Tai-Ping; Yu, Shih-Hsien Hyperbolic conservation laws and dynamic systems.

Discrete Contin. Dynam. Systems 6 (2000), no. 1, 143--145.

 

Yu, Shih-Hsien Zero-dissipation limit of solutions with shocks for systems of

hyperbolic conservation laws. Arch. Ration. Mech. Anal. 146 (1999), no. 4, 275--

370.

 

Liu, Tai-Ping; Yu, Shih-Hsien Nonlinear stability of weak detonation waves for a

combustion model. Comm. Math. Phys. 204 (1999), no. 3, 551--586.

 

Liu, Tai-Ping; Yu, Shih-Hsien Continuum shock profiles for discrete conservation

laws. II. Stability. Comm. Pure Appl. Math. 52 (1999), no. 9, 1047--1073.

 

Liu, Tai-Ping; Yu, Shih-Hsien Continuum shock profiles for discrete conservation

laws. I. Construction. Comm. Pure Appl. Math. 52 (1999), no. 1, 85--127.

 

Jiang, Guang-Shan; Yu, Shih-Hsien Discrete shocks for finite difference

approximations to scalar conservation laws. SIAM J. Numer. Anal. 35 (1998), no.

2, 749--772

 

Liu, Tai-Ping; Yu, Shih-Hsien Propagation of a stationary shock layer in the

presence of a boundary. Arch. Rational Mech. Anal. 139 (1997), no. 1, 57--82.

Nishibata,