**Work Experience**
- Distinguished Research Fellow
Institute of Mathematics, Academia Sinica, R.O.C.
2006 - Present
- Distinguished Research Fellow
Institute of Mathematics,Academia Sinica, R.O.C.
2000-2005

** Awards **
- Galileo Galilei Medal , City if Padova,
2012
- Cataldo e Angiola Agostinelli International Prize,
2009
- TWAS membership,
2006
- Member, Academia Sinica, Nankang, Rep. of China,
1992
- Guggenheim Fellowship,
1982-83
- Sloan Fellowship,
1979-81
- NSF Grant,
1976-Present
- Adjunct professor, Zhejiang University, Hangzhou,
- Honorary professor, Chinese Academy of Sciences, Beijing,
- Honorary professor, City University of Hong Kong,

** Research Descriptions **

Dr. Liu's research interests center around Nonlinear partial differential equations, shock wave theory, and kinetic theory.

** Selected Publications ↓ **
- (with Jiang J.-C.) "Boltzmann collision operator for the infinite range potential: a limit problem."
, 36 (6), 1639-1677, 2019.
- (with Yu S.-H.) "Multi-dimensional wave propagation over a Burgers shock profile."
,
*Archive for Rational Mechanics and Analysis*
, 229 (1), 231-337, 2018.
- (with Yu S.-H.) "Multi-dimensional wave propagation over a Burgers shock profile"
,
*Archive for Rational Mechanics and Analysis*
, 229, 231-337, 2018.
- "Hopf-Cole transformation"
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 12 (1), 71-101, 2017.
- (with Chen, I-Kun; Funagane, Hitoxhi; and Takata, Shigeru) "Singularity of the velocity distribution function in molecular velocity space."
,
*Comm. Math. Phys.*
, 341 (1), 105-134, 2016.
- (with Noh, Se Eun) "Wave propagation for the compressible Navier-Stokes equations."
,
*J. Hyperbolic Differ. Equ.*
, 12 (2), 385-445, 2015.
- (with Zeng, Yanni) "Shock waves in conservation laws with physical viscosity."
,
*Mem. Amer. Math. Soc.*
, 234 (1105), 2015.
- (with Yu, Shih-Hsien) "Boundary wave propagator for compressible Navier-Stokes equations."
,
*Found. Comput. Math.*
, 14 (6), 1287-1335, 2014.
- (with Yu, Shih-Hsien) "Fujita equation with boundary effect"
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 9 (2), 267-282, 2014.
- "Equilibrating effects of boundary and collision in rarefied gases."
,
*Comm. Math. Phys.*
, 318 (2), 421-480, 2014.
- (with Chen, I-Kun and Takata, Shigeru) "Boundary singularity for thermal transpiration problem of the linearized Boltzmann equation"
,
*Arch. Ration. Mech. ANal.*
, 212 (2), 575-595, 2014.
- "Aspects of dissipation for compressible fluids and kinetic theory"
,
*Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.*
, 371 (2005), 2013.
- (with Yu, Shih-Hsien) "Invariant manifolds for steady Boltzmann equation and applications"
,
*Archive Rational Mechanics and Analysis*
, 209 (3), 869-997, 2013.
- (with Kuo, Hung-Wen and Tsai, Li-Cheng) "Free molecular flow with boundary effect"
,
*Comm. Math. Phys.*
, 318 (2), 375-409, 2013.
- (with Yu S.-H.) "Dirichlet-Neumann kernel for hyperbolic-dissipative system in half-space"
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 7 (4), 477-543, 2012.
- "Multi-dimensional gas flow: some historical perspectives"
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 6 (3), 269-291, 2011.
- (with Yu S.-H.) "On boundary relation for some dissipative systems"
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 6 (3), 245-267, 2011.
- (with Yu, Shih-Hsien) "Solving Boltzmann equation, Part I: Green's function"
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 6 (1), 115-243, 2011.
- (with Yu S.-H.) "Viscous rarefaction waves"
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 5 (2), 123-179, 2010.
- (with S.-H. Yu; Y. Zeng) "Viscous Conservation Laws, Part I: Scalar Laws"
,
*Bull. Inst. Math., Acad. Sin. (N.S.)*
, 5 (3), 233-310, 2010.
- (with Kuo, Hung-Wen; Noh, Se Eun) "Mixture lemma"
,
*Bull. Inst. Math., Acad. Sin. (N.S.)*
, 5 (1), 1-10, 2010.
- (with Zeng, Yanni) "On Green's function for hyperbolic-parabolic systems"
,
*Acta Math. Sci. Ser. B Engl. Ed.*
, 29 (6), 1556-1572, 2009.
- (with S.-H., Yu) "Boltzmann equation, boundary effects."
,
*Discrete Contin. Dyn. Syst.*
, 24 (1), 145-157, 2009.
- (with S.-H., Yu) "Viscous shock wave tracing, local conservation laws, and pointwise estimates"
,
*Bull. Inst. Math. Aca. (N.S.)*
, 4 (3), 167-210, 2009.
- (with Y., Zeng) "Time-asymptotic behavior of wave propagation around a viscous shock profile."
,
*Comm. Math. Phys.*
, 290 (1), 23-82, 2009.
- (with Yu, Shih-Hsien) "Diffusion under gravitational and boundary effects."
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 3 (1), 167-210, 2008.
- (with Elling, Volker) "Supersonic flow onto a solid wedge."
,
*Comm. Pure Appl. Math.*
, 61 (10), 1347-1448, 2008.
- (with Yu, Shih-Hsien) "Initial-boundary value problem for one-dimensional wave solutions of the Boltzmann equation."
,
*Comm. Pure Appl. Math.*
, 60 (3), 295-356, 2007.
- (with Lee, Ming-Yi; Yu, Shih-Hsien) "Large-time behavior of solutions for the Boltzmann equation with hard potentials."
,
*Comm. Math. Phys.*
, 269 (1), 17-37, 2007.
- (with Chen, Chiun-Chuan; Chen, I-Kun; Sone, Yoshio) "Thermal transpiration for the linearized Boltzmann equation."
,
*Comm. Pure Appl. Math.*
, 60 (2), 147-163, 2007.
- (with S.-H. Yu) "Green's function of Boltzmann equation, 3-D"
,
*Bull. Inst. Math. Acad. Sin. (N.S.)*
, 1 (1), 1-78, 2006.
- (with T. Yang, S.-H. Yu, H.-J. Zhao) "Nonlinear stability of rarefaction waves for the Boltzmann equation."
,
*Arch. Rational Mech. Anal.*
, 181 (2), 333-371, 2006.
- (with V. Elling) "The ellipticity principle for self-similar potential flows."
,
*J. Hyperbolic Differ. Equ.*
, 2 (4), 909-917, 2005.
- (with C.-Y., Lan;H.-E., Lin;S.-H. Yu) "Propagation of viscous shock waves away from the boundary."
,
*SIAM J. Math. Anal.*
, 36 (2), 580-617, 2004.
- (with C.-C. Chen and T. Yang) "Existence of boundary layer solutions to the Boltzmann equation"
,
*Anal. Appl. (Singap.)*
, 2 (4), 337-363, 2004.
- (with Yu, Shih-Hsien) "(with ) The Green's function and large-time behavior of solutions for one-dimensional Boltzmann equation"
,
*Comm. Pure. Appl. Math.*
, 57 (12), 1543-1608, 2004.
- (with Yang, Tong; Yu, Shih-Hsien) "Energy method for Boltzmann equation"
,
*Phys. D*
, 188 (3-4), 178-192, 2004.
- (with Yu, Shih-Hsien) "Boltzmann equation: micro-macro decompositions and positivity of shock profiles"
,
*Comm. Math. Phys.*
, 246 (1), 133-179, 2004.
- (with T. Ruggeri) "Entropy production and admissibility of shocks"
,
*Acta Math. Appl. Sin. Engl. Ser.*
, 19, 1-12, 2003.
- (with Y. Deng, T. Yang, and T. Yao) "Solutions with vacuum for Euler-Poisson equations"
,
*Arch. Rational Mech. Anal.*
, 164 (3), 261-285, 2002.
- (with T. Yang) "Weak Solutions to General Systems of Hyperbolic Conservation Laws"
,
*Comm. Math. Phys.*
, 230 (2), 289-327, 2002.
- "Shock waves. Proceedings of the International Congress of Mathematicians"
,
*Higher Ed. Press (Beijing)*
, III, 185-188, 2002.
- (with T. Yang and Y. Zheng) "Some nonlinear functionals for scalar conservation laws"
,
*Methods Appl. Anal.*
, 8 (4), 609-622, 2001.
- "Hyperbolic and Viscous Conservation Laws. CBMS-NSF Regional Conference Series in Applied Mathematics, 72. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2000."
, 2000.
- (with S.H. Yu) "145Hyperbolic conservation laws and dynamic systems"
,
*Discrete Contin. Dynam. Systems*
, 6 (1), 143-145, 2000.
- "L
_{1} stability for systems of hyperbolic conservation laws.'' Nonlinear partial differential equations (Evanston, IL, 1998), 183-192, Contemp. Math., 238, Amer. Math. Soc., Providence, RI, 1999."
, *Yang, Tong*
, 1999.
- (with W.-C. Lien) "Nonlinear stability of a self-similar 3-dimensional gas flow"
,
*Comm. Math. Phys.*
, 204 (3), 525-549, 1999.
- (with W.-C. Lien) "Nonlinear stability of a self-similar 3-dimensional gas flow"
,
*Comm. Math. Phys.*
, 204 (3), 525-549, 1999.
- (with S.-H. Yu) "Nonlinear stability of weak detonation waves for a combustion model"
,
*Comm. Math. Phys.*
, 204, 551-586, 1999.
- (with T. Yang) "Well-posedness theory for hyperbolic conservation l aws, Comm. Pure Appl. Math. LII"
,
*Comm. Pure Appl. Math.*
, II, 1553-1586, 1999.
- (with S.-H. Yu) "Continuum shock profiles for discrete conservation laws, II. Stability. Comm. Pure Appl. Math. LII (1999), 1047-1073."
, 1999.
- (with T. Yang) "A generalized entropy for scalar conservation laws"
,
*Comm. Pure Appl. Math.*
, LII, 1427-1442, 1999.
- (with Yang, Tong) "Well-posedness theory for system of hyperbolic conservation laws. Hyperbolic problems: theory, numerics, applications, Vol.II, (Z�rich,1998), 681-691, Internat. Ser. Numer. Math., 130, Birkh酳ser, Basel, 1999."
, II, 1998/1999.
- (with A. Bressan and T. Yang) "L1 stability estimates for nxn conservatiob laws"
,
*Archive Rational Mech. Anal.*
, 1998.
- (with SIAM J. Math. Anal.) "Behaviours of solutions for the Burgers equation with boundary corresponding to rarefaction waves"
,
*A. Matsumura and K. Nishihar*
, 29, 293-308, 1998.
- (with T. Yang) "L1 stability of conservation laws with coinciding Hugoniot and characteristic curves"
,
*Indiana Univ. Math. J.*
, 1998.
- (with T. Yang) "(with ) L1 stability of 2x2 systems of hyperbolic conservation laws"
,
*J. Amer. Math. Soc.*
, 729-772, 1998.
- (with Z. Xin and T. Yang) "Vacuum states for compressible flow"
,
*Disc. Cont. Dyn. Ana.*
, 4, 1-32, 1998.
- "Zero dissipation and stability of shock waves"
,
*Methods and Appl. Analysis*
, 5, 81-94, 1998.
- (with W. Wang) "The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd dimensions"
,
*Comm. Math. Phys.*
, 196, 145-173, 1998.
- (with S.-H. Yu) "Continuum shock profiles for discrete conservation laws, I. Construction"
,
*Comm. Pure Appl. Math.*
, 1998.
- (with Y. Zeng) "Compressible Navier-Stokes equations with zero heat conductivity"
,
*J. D. E.*
, 1998.
- "Regularization of solution operators for quasilinear hyperbolic-parabolic partial differential equations"
,
*J. Partial Differential Equations*
, 10 (4), 347-354, 1997.
- (with T. Yang) "L1 stability of constant states for hyperbolic conservation laws"
,
*Methods and Appl. Analysis*
, 4, 339-355, 1997.
- (with K. Nishihara) "Asymptotic behaviour for scalar viscous conservation law with boundary effect"
,
*J.D.E.*
, 133, 296-320, 1997.
- (with Z. Xin) "Pointwise decay to contact continuities for viscous conservation laws"
,
*Asian J. Math.*
, 1, 34-84, 1997.
- (with T. Yang) "Compressible Euler equations with vacuum"
,
*J.D.E.*
, 140, 223-237, 1997.
- "Pointwise convergence to shock waves for viscous conservaton laws, Comm. Pure Appl. Math. L (1997)"
,
*Comm. Pure Appl. Math.*
, L, 1113-1182, 1997.
- (with S. Yu) "Propagation of Burgers stationary shocks under boundary effect"
,
*Archive Rational Mech. Anal.*
, 139, 57-82, 1997.
- (with Y. Zeng) "Large time behavior of solutions of general quasilinear hyperbolic-parabolic systems of conservation laws"
,
*Memoirs, Amer. Math. Soc.*
, 599, 1997.
- (with D. Li and D. Tan) "Stability of strong detonation travelling waves to combustion model"
,
*J. Math. Anal. Appl.*
, 201, 516-531, 1996.
- "Gas flows with damping and vacuum"
,
*Japan J. Indus. and Appl. Math.*
, 13, 25-32, 1996.
- "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), 357--366."
, 1996.
- (with K. Zumbrum) "On nonlinear stability of general undercompressive viscous shock waves"
,
*Comm. Math. Phys.*
, 175, 319-345, 1995.
- (with K. Zumbrun) "Nonlinear stability of an undercompressive shock for complex Burgers equation"
,
*Comm. Math. Physics*
, 168, 163-186, 1995.
- (with L. Ying) "Nonliner stability strong detonations for a combustion model"
,
*SIAM J. of Math. Anal.*
, 26, 519-528, 1995.
- (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 23--31, 1994."
, 1994-05.
- "Nonlinear hyperbolic-dissipative partial differential equations. Recent mathematical methods in nonlinear wave propagation (Montecatini Terme, 1994), 103--136, Lecture Notes in Math., 1640, Springer, Berlin, 1996."
,
*Recent mathematical methods in nonlinear wave propagation*
, 1994/1996.
- (with G.-Q. Chen and D. Levermore) "Hyperbolic conservation laws with stiff relaxation terms and entropy"
,
*Comm. Pure Applied Math.*
, 47, 787-830, 1994.
- "Nonlinear evolutionary partial differential equations."
,
*Proceedings of the International Conference held in Beijing*
, 21-25, 1993-06.
- (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, 465--480."
, 1993.
- "Nonlinear waves for viscous conservation laws"
,
*Nonlinear evolutionary partial differential equations*
, 65-74, 1993.
- (with L. Hsiao) "Nonlinear diffusive phenomena of nonlinear hyperbolic systems"
,
*Chin.Ann. Math.*
, 14B, 465-480, 1993.
- (with P. Le Floch) "Existence theory for nonlinear hyperbolic systems in nonconservative form"
,
*Forum Math.*
, 5, 261-280, 1993.
- (with H. Freistühler) "Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscious conservation laws"
,
*Comm. Math. Physics*
, 153, 147-158, 1993.
- (with G.-Q. Chen) "Zero relaxation and dissipation limits for hyperbolic conservation laws"
,
*Comm. Pure Appl. Math.*
, 46, 755-781, 1993.
- (with L. Hsiao) "(with ) Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping"
,
*Comm. Math. Phys.*
, 143, 599-605, 1992.
- (with Z. Xin) "Stability of viscous shock waves associated with a nonstrictly hyperbolic conservantion law, Comm. Pure Appl. Math., XLV (1992), 361-388."
, 1992.
- "Interaction of nonlinear hyperbolic waves, Nonlinear Analysis"
,
*Academia Sinica, R.O.C., World Scientific*
, 171-184, 1991.
- "Nonlinear hyperbolic-parabolic p.d.e., Nonlinear Analysis"
,
*Academia Sinica, R.O.C., World Scientific*
, 161-170, 1991.
- "Viscosity criterion for hyperbolic conservation laws"
,
*Proc. SIAM. Ed. M. Shearer*
, 1991.
- (with T. Zheng) "A scalar combustion model"
,
*Arch. Rational Mech. Anal.*
, 114, 297-312, 1991.
- "On the viscosity criterion for hyperbolic conservation laws. Viscous profiles and numerical methods for shock waves (Raleigh, NC, 1990), 105-114."
, 1990.
- (with S. Hsu) "Nonlinear singular Sturm-Liouville problem and application to transonic flow through a nozzle"
,
*Comm. Pure Appl. Math.*
, 43, 31-61, 1990.
- (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, 139-145, 1990.
- "Nonlinear hyperbolic waves. Nonlinear hyperbolic equations in applied sciences. Rend. Sem. Mat. Univ. Politec. Torino 1988, Special Issue, 269--277 (1989)."
, 1989.
- "Nonlinear analysis. Papers from the conference held in Taipei, June 19--24, 1989"
, 1989.
- "Geometric theory of shock waves. Multidimensional hyperbolic problems and computations (Minneapolis, MN, 1989), 198-202."
, 1989.
- (with D. Hoff) "The inviscid limit for the Navier-Stokes equations of compressible, instropic flow with shock data"
,
*Indiana Univ. J.*
, 38, 861-915, 1989.
- (with Hsu, Sze-Bi) "Local uniqueness of interior layer solution and its related stability property."
,
*Nonlinear analysis (Taipei)*
, 51-60, 1989.
- "Quasilinear hyperbolic-parabolic partial differential equations"
,
*Algebra, analysis and geometry (Taipei)*
, 185-197, 1988.
- (with Z. Xin) "Nonlinear stability of rarefaction waves for compressible Navier--Stokes equations"
,
*Comm. Math. Phys.*
, 451-465, 1988.
- "Nonlinear waves for viscoelasticity with fading memory"
,
*J. Diff. Equ.*
, 76, 26-46, 1988.
- "Nonlinear resonance for quasilinear hyperbolic equation"
,
*J. Math. Phys.*
, 28, 2593-2602, 1987.
- "Hyperbolic conservation laws with relaxation"
,
*Comm. Math. Phys.*
, 108, 153-175, 1987.
- "Pointwise convergence to $N$-waves for hyperbolic conservation laws"
,
*Bulletin, Inst. Math., Academia Sinica*
, 15, 1-17, 1987.
- "Hyperbolic conservation laws and related topics. Partial differential equations of hyperbolic type and applications, 113--139, World Sci. Publishing, Singapore, 1987."
, 1987.
- (with I-L. Chern) "Convergence to diffusion waves of solutions for viscous conservation laws"
,
*Comm. Math. Phys.*
, 110, 503-517, 1987.
- (with R. Caflisch) "Stability of shock waves for the Broadwell equations"
,
*Comm. Math. Phys.*
, 39, 565-594, 1986.
- "Shock waves for compressible Navier-Stokes equations are stable"
,
*Comm. Pure Appl. Math.*
, 39, 565-594, 1986.
- (with L. P. Huang) "Piecewise steady elements and Godunov-type difference scheme for duct flow"
,
*Comp. & Maths. with Appls.*
, 12A, 377-388, 1986.
- "Shock waves and diffusion waves. Nonlinear systems of partial differential equations in applied mathematics, Part 1 (Santa Fe, N.M., 1984), 283--291, Lectures in Appl. Math., 23, Amer. Math. Soc., Providence, RI, 1986."
, 1986.
- "Nonlinear stability of shock waves for viscous conservation laws, Memoirs"
,
*Amer. Math. Soc.*
, 328, 1985.
- "Nonlinear stability of shock waves for viscous conservation laws"
,
*Amer. Math. Soc. (N.S.)*
, 12 (2), 233-236, 1985.
- (with C. H. Wang) "On a system of nonstrictly hyperbolic system"
,
*J.D.E.*
, 57, 1-14, 1985.
- "Stability of nonlinear waves. Metastability and incompletely posed problems"
,
*Minneapolis, Minn.*
, 259-267, 1985.
- (with H. Galz) "The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow"
,
*Advances Appl.*
, 5, 111-146, 1984.
- (with M. Pierre) "Source-solutions and asymptotic behavior in conservation law"
,
*J. Diff. Equ.*
, 51, 419-441, 1984.
- (with C. Li) "Asymptotic states for hyperbolic conservation laws with a moving source"
,
*Advances in Appl. Math.*
, 4, 353-379, 1983.
- "Resonance for quasilinear hyperbolic equation"
,
*Bulletin Amer. Math. Soc.*
, 6, 463-465, 1982.
- (with A. Chorin and Z. H. Teng) "Riemann problems for reacting gas with applications to transitions"
,
*SIAM J. Appl. Math.*
, 42, 964-981, 1982.
- "Nonlinear stability and instability of transonic flows through a nozzle"
,
*Comm. Math. Phys.*
, 83, 243-260, 1982.
- "Transonic gas flow in a duct of varying area"
,
*Arch. Rat. Mech. and Anal.*
, 80, 1-18, 1982.
- "Admissible solutions of hyperbolic conservation laws, Memoirs"
,
*Amer. Math. Soc.*
, 240, 1981.
- (with Conlon, Joseph G.) "Admissibility criteria for hyperbolic conservation laws"
,
*Indiana Univ. Math. J.*
, 30 (5), 641-652, 1981.
- (with J. Smoller) "On the vacuum state for isentropic gas dynamics equations"
,
*Advances in Math.*
, 1, 345-359, 1980.
- "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), 319--326, 395."
, 1979/1980.
- "A system of quasilinear hyperbolic partial differential equations. Trends in applications of pure mathematics to mechanics, Vol. III (Edinburgh, 1979), 179-189."
, 1979.
- "Quasilinear hyperbolic systems68"
,
*Comm. Math. Phys.*
, 68, 142-172, 1979.
- "Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations"
,
*J. Diff. Equations,*
, 33, 92-111, 1979.
- (with S. Antman) "Traveling waves in hyperelastic rods"
,
*Quarterly of Appl. Math.*
, 36, 377-399, 1979.
- "The free piston problem for gas dynamics"
,
*J. of Diff. Equations*
, 39, 175-191, 1978.
- "Invariants and asymptotic behavior of solution of a conservation law"
,
*Proceedings of A.M.S.*
, 71, 227-231, 1978.
- "Asymptotic behavior of solutions of general systems of nonlinear hyperbolic conservation laws"
,
*Indiana Univ. J.*
, 27, 211-253, 1978.
- "The deterministic version of the Glimm scheme"
,
*Comm. Math. Phys.*
, 57, 135-148, 1977.
- "Linear and nonlinear large-time behaviors of solutions of hyperbolic conservation laws"
,
*Comm. Pure Appl. Math.*
, 30, 767-796, 1977.
- "Large-time behavior of solutions of initial and initial-boundary value problem of general system of hyperbolic conservation laws"
,
*Comm. Math. Phys.*
, 55, 163-177, 1977.
- "Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws"
,
*Comm. Pure Appl. Math*
, 30, 586-611, 1977.
- "Initial-boundary value problems for gas dynamics"
,
*Arc. Rat. Mech. and Anal.*
, 64, 137-168, 1977.
- "Solutions in the large for equations of nonisentropic gas dynamics"
,
*Indiana Univ. J.*
, 26, 144-177, 1977.
- "The entropy condition and the admissibility of shocks"
,
*J. of Math. Anal. and Applications*
, 53, 75-88, 1976.
- "Shock waves in nonisentropic gas flow"
,
*J. Diff. Equations*
, 22, 442-452, 1976.
- "Uniqueness theorem of the Cauchy problem for general 2 X 2 conservation laws"
,
*J. Diff. Eqs.*
, 20, 369-388, 1976.
- "Existence and uniqueness theorems for Riemann problems"
,
*Transactions of A.M.S.*
, 212, 375-382, 1975.
- "The Riemann Problem for general systems of conservation laws"
,
*J. Diff. Equations*
, 18, 218-234, 1975.
- "The Riemann problem for general 2 X 2 conservation Laws"
,
*Transactions of A.M.S.*
, 199, 89-112, 1974.
- (with S. Cox) "Zero-memory limit for a viscoelasticity model with Riemann data (preprint)."