1.
 The Riemann problem for general 2 X 2 conservation Laws,
Transactions of A.M.S.
, 199(1974), 89112

2.
 The Riemann Problem for general systems of conservation laws,
J. Diff. Equations
, 18(1975), 218234

3.
 Existence and uniqueness theorems for Riemann problems,
Transactions of A.M.S.
, 212(1975), 375382

4.
 Uniqueness theorem of the Cauchy problem for general 2 X 2 conservation laws,
J. Diff. Eqs.
, 20(1976), 369388

5.
 Shock waves in nonisentropic gas flow,
J. Diff. Equations
, 22(1976), 442452

6.
 The entropy condition and the admissibility of shocks,
J. of Math. Anal. and Applications
, 53(1976), 7588

7.
 Solutions in the large for equations of nonisentropic gas dynamics,
Indiana Univ. J.
, 26(1977), 144177

8.
 Initialboundary value problems for gas dynamics,
Arc. Rat. Mech. and Anal.
, 64(1977), 137168

9.
 Decay to Nwaves of solutions of general systems of nonlinear hyperbolic conservation laws,
Comm. Pure Appl. Math
, 30(1977), 586611

10.
 Largetime behavior of solutions of initial and initialboundary value problem of general system of hyperbolic conservation laws,
Comm. Math. Phys.
, 55(1977), 163177

11.
 Linear and nonlinear largetime behaviors of solutions of hyperbolic conservation laws,
Comm. Pure Appl. Math.
, 30(1977), 767796

12.
 The deterministic version of the Glimm scheme,
Comm. Math. Phys.
, 57(1977), 135148

13.
 Asymptotic behavior of solutions of general systems of nonlinear hyperbolic conservation laws,
Indiana Univ. J.
, 27(1978), 211253

14.
 Invariants and asymptotic behavior of solution of a conservation law,
Proceedings of A.M.S.
, 71(1978), 227231

15.
 The free piston problem for gas dynamics,
J. of Diff. Equations
, 39(1978), 175191

16.
 (with S. Antman) Traveling waves in hyperelastic rods,
Quarterly of Appl. Math.
, 36(1979), 377399

17.
 Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations,
J. Diff. Equations,
, 33(1979), 92111

18.
 Quasilinear hyperbolic systems68,
Comm. Math. Phys.
, 68(1979), 142172

19.
 A system of quasilinear hyperbolic partial differential equations. Trends in applications of pure mathematics to mechanics, Vol. III (Edinburgh, 1979), 179189.,
(1979)

20.
 probleme du vide pour les equations de la dynamique des gaz isentropiques. (French) [The problem of the vacuum for equations in isentropic gas dynamics] Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. II (Paris, 1979/1980), 319326, 395.,
(1979/1980)

21.
 (with J. Smoller) On the vacuum state for isentropic gas dynamics equations,
Advances in Math.
, 1(1980), 345359

22.
 (with Conlon, Joseph G.) Admissibility criteria for hyperbolic conservation laws,
Indiana Univ. Math. J.
, 30(1981), no. 5, 641652

23.
 Admissible solutions of hyperbolic conservation laws, Memoirs,
Amer. Math. Soc.
, 240(1981)

24.
 Transonic gas flow in a duct of varying area,
Arch. Rat. Mech. and Anal.
, 80(1982), 118

25.
 Nonlinear stability and instability of transonic flows through a nozzle,
Comm. Math. Phys.
, 83(1982), 243260

26.
 (with A. Chorin and Z. H. Teng) Riemann problems for reacting gas with applications to transitions,
SIAM J. Appl. Math.
, 42(1982), 964981

27.
 Resonance for quasilinear hyperbolic equation,
Bulletin Amer. Math. Soc.
, 6(1982), 463465

28.
 (with C. Li) Asymptotic states for hyperbolic conservation laws with a moving source,
Advances in Appl. Math.
, 4(1983), 353379

29.
 (with M. Pierre) Sourcesolutions and asymptotic behavior in conservation law,
J. Diff. Equ.
, 51(1984), 419441

30.
 (with H. Galz) The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow,
Advances Appl.
, 5(1984), 111146

31.
 Stability of nonlinear waves. Metastability and incompletely posed problems,
Minneapolis, Minn.
(1985), 259267

32.
 (with C. H. Wang) On a system of nonstrictly hyperbolic system,
J.D.E.
, 57(1985), 114

33.
 Nonlinear stability of shock waves for viscous conservation laws,
Amer. Math. Soc. (N.S.)
, 12(1985), no. 2, 233236

34.
 Nonlinear stability of shock waves for viscous conservation laws, Memoirs,
Amer. Math. Soc.
, 328(1985)

35.
 Shock waves and diffusion waves. Nonlinear systems of partial differential equations in applied mathematics, Part 1 (Santa Fe, N.M., 1984), 283291, Lectures in Appl. Math., 23, Amer. Math. Soc., Providence, RI, 1986.,
(1986)

36.
 (with L. P. Huang) Piecewise steady elements and Godunovtype difference scheme for duct flow,
Comp. & Maths. with Appls.
, 12A(1986), 377388

37.
 Shock waves for compressible NavierStokes equations are stable,
Comm. Pure Appl. Math.
, 39(1986), 565594

38.
 (with R. Caflisch) Stability of shock waves for the Broadwell equations,
Comm. Math. Phys.
, 39(1986), 565594

39.
 (with IL. Chern) Convergence to diffusion waves of solutions for viscous conservation laws,
Comm. Math. Phys.
, 110(1987), 503517

40.
 Hyperbolic conservation laws and related topics. Partial differential equations of hyperbolic type and applications, 113139, World Sci. Publishing, Singapore, 1987.,
(1987)

41.
 Pointwise convergence to waves for hyperbolic conservation laws,
Bulletin, Inst. Math., Academia Sinica
, 15(1987), 117

42.
 Hyperbolic conservation laws with relaxation,
Comm. Math. Phys.
, 108(1987), 153175

43.
 Nonlinear resonance for quasilinear hyperbolic equation,
J. Math. Phys.
, 28(1987), 25932602

44.
 Nonlinear waves for viscoelasticity with fading memory,
J. Diff. Equ.
, 76(1988), 2646

45.
 (with Z. Xin) Nonlinear stability of rarefaction waves for compressible NavierStokes equations,
Comm. Math. Phys.
(1988), 451465

46.
 Quasilinear hyperbolicparabolic partial differential equations,
Algebra, analysis and geometry (Taipei)
(1988), 185197

47.
 (with Hsu, SzeBi) Local uniqueness of interior layer solution and its related stability property.,
Nonlinear analysis (Taipei)
(1989), 5160

48.
 (with D. Hoff) The inviscid limit for the NavierStokes equations of compressible, instropic flow with shock data,
Indiana Univ. J.
, 38(1989), 861915

49.
 Geometric theory of shock waves. Multidimensional hyperbolic problems and computations (Minneapolis, MN, 1989), 198202.,
(1989)

50.
 Nonlinear analysis. Papers from the conference held in Taipei, June 1924, 1989,
(1989)

51.
 Nonlinear hyperbolic waves. Nonlinear hyperbolic equations in applied sciences. Rend. Sem. Mat. Univ. Politec. Torino 1988, Special Issue, 269277 (1989).,
(1989)

52.
 (with Z. Xin) Over compressive shock waves nonlinear evolution equations that change types, ed. B. Keyfitz and M. Shearer,
IMA volumes in Math Appls.
, 27(1990), 139145

53.
 (with S. Hsu) Nonlinear singular SturmLiouville problem and application to transonic flow through a nozzle,
Comm. Pure Appl. Math.
, 43(1990), 3161

54.
 On the viscosity criterion for hyperbolic conservation laws. Viscous profiles and numerical methods for shock waves (Raleigh, NC, 1990), 105114.,
(1990)

55.
 (with T. Zheng) A scalar combustion model,
Arch. Rational Mech. Anal.
, 114(1991), 297312

56.
 Viscosity criterion for hyperbolic conservation laws,
Proc. SIAM. Ed. M. Shearer
(1991)

57.
 Nonlinear hyperbolicparabolic p.d.e., Nonlinear Analysis,
Academia Sinica, R.O.C., World Scientific
(1991), 161170

58.
 Interaction of nonlinear hyperbolic waves, Nonlinear Analysis,
Academia Sinica, R.O.C., World Scientific
(1991), 171184

59.
 (with Z. Xin) Stability of viscous shock waves associated with a nonstrictly hyperbolic conservantion law, Comm. Pure Appl. Math., XLV (1992), 361388.,
(1992)

60.
 (with S. Cox) Zeromemory limit for a viscoelasticity model with Riemann data (preprint).,

61.
 (with L. Hsiao) (with ) Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping,
Comm. Math. Phys.
, 143(1992), 599605

62.
 (with G.Q. Chen) Zero relaxation and dissipation limits for hyperbolic conservation laws,
Comm. Pure Appl. Math.
, 46(1993), 755781

63.
 (with H. Freistühler) Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscious conservation laws,
Comm. Math. Physics
, 153(1993), 147158

64.
 (with P. Le Floch) Existence theory for nonlinear hyperbolic systems in nonconservative form,
Forum Math.
, 5(1993), 261280

65.
 (with L. Hsiao) Nonlinear diffusive phenomena of nonlinear hyperbolic systems,
Chin.Ann. Math.
, 14B(1993), 465480

66.
 Nonlinear evolutionary partial differential equations.,
Proceedings of the International Conference held in Beijing
(199306), 2125

67.
 Nonlinear waves for viscous conservation laws,
Nonlinear evolutionary partial differential equations
(1993), 6574

68.
 (with Hsiao, Ling) Nonlinear diffusive phenomena of nonlinear hyperbolic systems. A Chinese summary appears in Chinese Ann. Math. Ser. A 14 (1993), no. 6, 740. Chinese Ann. Math. Ser. B 14 (1993), no. 4, 465480.,
(1993)

69.
 (with Bolliat, G.) Dafermos, C. M.; Lax, P. D. Recent mathematical methods in nonlinear wave propagation. Lectures given at the 1st C.I.M.E. Session held in Montecatini Terme, May 2331, 1994.,
(199405)

70.
 (with G.Q. Chen and D. Levermore) Hyperbolic conservation laws with stiff relaxation terms and entropy,
Comm. Pure Applied Math.
, 47(1994), 787830

71.
 (with L. Ying) Nonliner stability strong detonations for a combustion model,
SIAM J. of Math. Anal.
, 26(1995), 519528

72.
 (with K. Zumbrun) Nonlinear stability of an undercompressive shock for complex Burgers equation,
Comm. Math. Physics
, 168(1995), 163186

73.
 (with K. Zumbrum) On nonlinear stability of general undercompressive viscous shock waves,
Comm. Math. Phys.
, 175(1995), 319345

74.
 Stability and viscosity criterion of shocks. Proceedings of the VIII International Conference on Waves and Stability in Continuous Media, Part I (Palermo, 1995). Rend. Circ. Mat. Palermo (2) Suppl. No. 45, part I (1996), 357366.,
(1996)

75.
 Nonlinear hyperbolicdissipative partial differential equations. Recent mathematical methods in nonlinear wave propagation (Montecatini Terme, 1994), 103136, Lecture Notes in Math., 1640, Springer, Berlin, 1996.,
Recent mathematical methods in nonlinear wave propagation
(1994/1996)

76.
 Gas flows with damping and vacuum,
Japan J. Indus. and Appl. Math.
, 13(1996), 2532

77.
 (with D. Li and D. Tan) Stability of strong detonation travelling waves to combustion model,
J. Math. Anal. Appl.
, 201(1996), 516531

78.
 (with Y. Zeng) Large time behavior of solutions of general quasilinear hyperbolicparabolic systems of conservation laws,
Memoirs, Amer. Math. Soc.
, 599(1997)

79.
 (with S. Yu) Propagation of Burgers stationary shocks under boundary effect,
Archive Rational Mech. Anal.
, 139(1997), 5782

80.
 Pointwise convergence to shock waves for viscous conservaton laws, Comm. Pure Appl. Math. L (1997),
Comm. Pure Appl. Math.
, L(1997), 11131182

81.
 (with T. Yang) Compressible Euler equations with vacuum,
J.D.E.
, 140(1997), 223237

82.
 (with Z. Xin) Pointwise decay to contact continuities for viscous conservation laws,
Asian J. Math.
, 1(1997), 3484

83.
 (with K. Nishihara) Asymptotic behaviour for scalar viscous conservation law with boundary effect,
J.D.E.
, 133(1997), 296320

84.
 (with T. Yang) L1 stability of constant states for hyperbolic conservation laws,
Methods and Appl. Analysis
, 4(1997), 339355

85.
 Regularization of solution operators for quasilinear hyperbolicparabolic partial differential equations,
J. Partial Differential Equations
, 10(1997), no. 4, 347354

86.
 (with Y. Zeng) Compressible NavierStokes equations with zero heat conductivity,
J. D. E.
(1998)

87.
 (with S.H. Yu) Continuum shock profiles for discrete conservation laws, I. Construction,
Comm. Pure Appl. Math.
(1998)

88.
 (with W. Wang) The pointwise estimates of diffusion wave for the NavierStokes systems in odd dimensions,
Comm. Math. Phys.
, 196(1998), 145173

89.
 (with W.C. Lien) Nonlinear stability of a selfsimilar 3dimensional gas flow,
Comm. Math. Phys.
, 204(1999), no. 3, 525549

90.
 Zero dissipation and stability of shock waves,
Methods and Appl. Analysis
, 5(1998), 8194

91.
 (with Z. Xin and T. Yang) Vacuum states for compressible flow,
Disc. Cont. Dyn. Ana.
, 4(1998), 132

92.
 (with T. Yang) (with ) L1 stability of 2x2 systems of hyperbolic conservation laws,
J. Amer. Math. Soc.
(1998), 729772

93.
 (with T. Yang) L1 stability of conservation laws with coinciding Hugoniot and characteristic curves,
Indiana Univ. Math. J.
(1998)

94.
 (with SIAM J. Math. Anal.) Behaviours of solutions for the Burgers equation with boundary corresponding to rarefaction waves,
A. Matsumura and K. Nishihar
, 29(1998), 293308

95.
 (with A. Bressan and T. Yang) L1 stability estimates for nxn conservatiob laws,
Archive Rational Mech. Anal.
(1998)

96.
 (with T. Yang) A generalized entropy for scalar conservation laws,
Comm. Pure Appl. Math.
, LII(1999), 14271442

97.
 (with S.H. Yu) Continuum shock profiles for discrete conservation laws, II. Stability. Comm. Pure Appl. Math. LII (1999), 10471073.,
(1999)

98.
 (with T. Yang) Wellposedness theory for hyperbolic conservation l aws, Comm. Pure Appl. Math. LII,
Comm. Pure Appl. Math.
, II(1999), 15531586

99.
 (with S.H. Yu) Nonlinear stability of weak detonation waves for a combustion model,
Comm. Math. Phys.
, 204(1999), 551586

100.
 (with W.C. Lien) Nonlinear stability of a selfsimilar 3dimensional gas flow,
Comm. Math. Phys.
, 204(1999), no. 3, 525549

101.
 (with Yang, Tong) Wellposedness theory for system of hyperbolic conservation laws. Hyperbolic problems: theory, numerics, applications, Vol.II, (Z�rich,1998), 681691, Internat. Ser. Numer. Math., 130, Birkh酳ser, Basel, 1999.,
, II(1998/1999)

102.
 L_{1} stability for systems of hyperbolic conservation laws.'' Nonlinear partial differential equations (Evanston, IL, 1998), 183192, Contemp. Math., 238, Amer. Math. Soc., Providence, RI, 1999.,
Yang, Tong
(1999)

103.
 (with S.H. Yu) 145Hyperbolic conservation laws and dynamic systems,
Discrete Contin. Dynam. Systems
, 6(2000), no. 1, 143145

104.
 Hyperbolic and Viscous Conservation Laws. CBMSNSF Regional Conference Series in Applied Mathematics, 72. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2000.,
(2000)

105.
 Shock waves. Proceedings of the International Congress of Mathematicians,
Higher Ed. Press (Beijing)
, III(2002), 185188

106.
 (with T. Yang and Y. Zheng) Some nonlinear functionals for scalar conservation laws,
Methods Appl. Anal.
, 8(2001), no. 4, 609622

107.
 (with T. Yang) Weak Solutions to General Systems of Hyperbolic Conservation Laws,
Comm. Math. Phys.
, 230(2002), no. 2, 289327

108.
 (with T. Ruggeri) Entropy production and admissibility of shocks,
Acta Math. Appl. Sin. Engl. Ser.
, 19(2003), 112

109.
 (with Y. Deng, T. Yang, and T. Yao) Solutions with vacuum for EulerPoisson equations,
Arch. Rational Mech. Anal.
, 164(2002), no. 3, 261285

110.
 (with Yu, ShihHsien) Boltzmann equation: micromacro decompositions and positivity of shock profiles,
Comm. Math. Phys.
, 246(2004), no. 1, 133179

111.
 (with Yang, Tong; Yu, ShihHsien) Energy method for Boltzmann equation,
Phys. D
, 188(2004), no. 34, 178192

112.
 (with Yu, ShihHsien) (with ) The Green's function and largetime behavior of solutions for onedimensional Boltzmann equation,
Comm. Pure. Appl. Math.
, 57(2004), no. 12, 15431608

113.
 (with C.C. Chen and T. Yang) Existence of boundary layer solutions to the Boltzmann equation,
Anal. Appl. (Singap.)
, 2(2004), no. 4, 337363

114.
 (with C.Y., Lan;H.E., Lin;S.H. Yu) Propagation of viscous shock waves away from the boundary.,
SIAM J. Math. Anal.
, 36(2004), no. 2, 580617

115.
 (with V. Elling) The ellipticity principle for selfsimilar potential flows.,
J. Hyperbolic Differ. Equ.
, 2(2005), no. 4, 909917

116.
 (with T. Yang, S.H. Yu, H.J. Zhao) Nonlinear stability of rarefaction waves for the Boltzmann equation.,
Arch. Rational Mech. Anal.
, 181(2006), no. 2, 333371

117.
 (with S.H. Yu) Green's function of Boltzmann equation, 3D,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 1(2006), no. 1, 178

118.
 (with Chen, ChiunChuan; Chen, IKun; Sone, Yoshio) Thermal transpiration for the linearized Boltzmann equation.,
Comm. Pure Appl. Math.
, 60(2007), no. 2, 147163

119.
 (with Lee, MingYi; Yu, ShihHsien) Largetime behavior of solutions for the Boltzmann equation with hard potentials.,
Comm. Math. Phys.
, 269(2007), no. 1, 1737

120.
 (with Yu, ShihHsien) Initialboundary value problem for onedimensional wave solutions of the Boltzmann equation.,
Comm. Pure Appl. Math.
, 60(2007), no. 3, 295356

121.
 (with Elling, Volker) Supersonic flow onto a solid wedge.,
Comm. Pure Appl. Math.
, 61(2008), no. 10, 13471448

122.
 (with Yu, ShihHsien) Diffusion under gravitational and boundary effects.,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 3(2008), no. 1, 167210

123.
 (with S.H., Yu) Boltzmann equation, boundary effects.,
Discrete Contin. Dyn. Syst.
, 24(2009), no. 1, 145157

124.
 (with Y., Zeng) Timeasymptotic behavior of wave propagation around a viscous shock profile.,
Comm. Math. Phys.
, 290(2009), no. 1, 2382

125.
 (with S.H., Yu) Viscous shock wave tracing, local conservation laws, and pointwise estimates,
Bull. Inst. Math. Aca. (N.S.)
, 4(2009), no. 3, 167210

126.
 (with Zeng, Yanni) On Green's function for hyperbolicparabolic systems,
Acta Math. Sci. Ser. B Engl. Ed.
, 29(2009), no. 6, 15561572

127.
 (with Kuo, HungWen; Noh, Se Eun) Mixture lemma,
Bull. Inst. Math., Acad. Sin. (N.S.)
, 5(2010), no. 1, 110

128.
 (with Yu S.H.) Viscous rarefaction waves,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 5(2010), no. 2, 123179

129.
 (with S.H. Yu; Y. Zeng) Viscous Conservation Laws, Part I: Scalar Laws,
Bull. Inst. Math., Acad. Sin. (N.S.)
, 5(2010), no. 3, 233310

130.
 (with Yu, ShihHsien) Solving Boltzmann equation, Part I: Green's function,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 6(2011), no. 1, 115243

131.
 (with Yu S.H.) On boundary relation for some dissipative systems,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 6(2011), no. 3, 245267

132.
 Multidimensional gas flow: some historical perspectives,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 6(2011), no. 3, 269291

133.
 (with Yu S.H.) DirichletNeumann kernel for hyperbolicdissipative system in halfspace,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 7(2012), no. 4, 477543

134.
 (with Kuo, HungWen and Tsai, LiCheng) Free molecular flow with boundary effect,
Comm. Math. Phys.
, 318(2013), no. 2, 375409

135.
 Aspects of dissipation for compressible fluids and kinetic theory,
Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.
, 371(2013), no. 2005

136.
 (with Yu, ShihHsien) Invariant manifolds for steady Boltzmann equation and applications,
Archive Rational Mechanics and Analysis
, 209(2013), no. 3, 869997

137.
 (with Chen, IKun and Takata, Shigeru) Boundary singularity for thermal transpiration problem of the linearized Boltzmann equation,
Arch. Ration. Mech. ANal.
, 212(2014), no. 2, 575595

138.
 Equilibrating effects of boundary and collision in rarefied gases.,
Comm. Math. Phys.
, 318(2014), no. 2, 421480

139.
 (with Yu, ShihHsien) Fujita equation with boundary effect,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 9(2014), no. 2, 267282

140.
 (with Yu, ShihHsien) Boundary wave propagator for compressible NavierStokes equations.,
Found. Comput. Math.
, 14(2014), no. 6, 12871335

141.
 (with Zeng, Yanni) Shock waves in conservation laws with physical viscosity.,
Mem. Amer. Math. Soc.
, 234(2015), no. 1105

142.
 (with Noh, Se Eun) Wave propagation for the compressible NavierStokes equations.,
J. Hyperbolic Differ. Equ.
, 12(2015), no. 2, 385445

143.
 (with Chen, IKun; Funagane, Hitoxhi; and Takata, Shigeru) Singularity of the velocity distribution function in molecular velocity space.,
Comm. Math. Phys.
, 341(2016), no. 1, 105134

144.
 HopfCole transformation,
Bull. Inst. Math. Acad. Sin. (N.S.)
, 12(2017), no. 1, 71101
