Institute of Mathematics
Academia Sinica
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Distinguished Visiting Chair |   Liu, Tai-Ping
Contact Information
  • tpliu$\color{red}{@}$math.sinica.edu.tw
  • +886 2 2368-5999 ext. 704
  • +886 2 2368-9771
Research Interests
  • Nonlinear partial differential equations
  • shock wave theory
  • kinetic theory
Education
  • Ph.D. The University of Michigan (1973)
  • M.S. Oregon State University (1970)
  • B.S. National Taiwan University (1968)
Links
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
  1. (with Jiang J.-C.) "Boltzmann collision operator for the infinite range potential: a limit problem." , 36 (6), 1639-1677, 2019.
  2. (with Yu S.-H.) "Multi-dimensional wave propagation over a Burgers shock profile." , Archive for Rational Mechanics and Analysis , 229 (1), 231-337, 2018.
  3. (with Yu S.-H.) "Multi-dimensional wave propagation over a Burgers shock profile" , Archive for Rational Mechanics and Analysis , 229, 231-337, 2018.
  4. "Hopf-Cole transformation" , Bull. Inst. Math. Acad. Sin. (N.S.) , 12 (1), 71-101, 2017.
  5. (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.
  6. (with Noh, Se Eun) "Wave propagation for the compressible Navier-Stokes equations." , J. Hyperbolic Differ. Equ. , 12 (2), 385-445, 2015.
  7. (with Zeng, Yanni) "Shock waves in conservation laws with physical viscosity." , Mem. Amer. Math. Soc. , 234 (1105), 2015.
  8. (with Yu, Shih-Hsien) "Boundary wave propagator for compressible Navier-Stokes equations." , Found. Comput. Math. , 14 (6), 1287-1335, 2014.
  9. (with Yu, Shih-Hsien) "Fujita equation with boundary effect" , Bull. Inst. Math. Acad. Sin. (N.S.) , 9 (2), 267-282, 2014.
  10. "Equilibrating effects of boundary and collision in rarefied gases." , Comm. Math. Phys. , 318 (2), 421-480, 2014.
  11. (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.
  12. "Aspects of dissipation for compressible fluids and kinetic theory" , Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. , 371 (2005), 2013.
  13. (with Yu, Shih-Hsien) "Invariant manifolds for steady Boltzmann equation and applications" , Archive Rational Mechanics and Analysis , 209 (3), 869-997, 2013.
  14. (with Kuo, Hung-Wen and Tsai, Li-Cheng) "Free molecular flow with boundary effect" , Comm. Math. Phys. , 318 (2), 375-409, 2013.
  15. (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.
  16. "Multi-dimensional gas flow: some historical perspectives" , Bull. Inst. Math. Acad. Sin. (N.S.) , 6 (3), 269-291, 2011.
  17. (with Yu S.-H.) "On boundary relation for some dissipative systems" , Bull. Inst. Math. Acad. Sin. (N.S.) , 6 (3), 245-267, 2011.
  18. (with Yu, Shih-Hsien) "Solving Boltzmann equation, Part I: Green's function" , Bull. Inst. Math. Acad. Sin. (N.S.) , 6 (1), 115-243, 2011.
  19. (with Yu S.-H.) "Viscous rarefaction waves" , Bull. Inst. Math. Acad. Sin. (N.S.) , 5 (2), 123-179, 2010.
  20. (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.
  21. (with Kuo, Hung-Wen; Noh, Se Eun) "Mixture lemma" , Bull. Inst. Math., Acad. Sin. (N.S.) , 5 (1), 1-10, 2010.
  22. (with Zeng, Yanni) "On Green's function for hyperbolic-parabolic systems" , Acta Math. Sci. Ser. B Engl. Ed. , 29 (6), 1556-1572, 2009.
  23. (with S.-H., Yu) "Boltzmann equation, boundary effects." , Discrete Contin. Dyn. Syst. , 24 (1), 145-157, 2009.
  24. (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.
  25. (with Y., Zeng) "Time-asymptotic behavior of wave propagation around a viscous shock profile." , Comm. Math. Phys. , 290 (1), 23-82, 2009.
  26. (with Yu, Shih-Hsien) "Diffusion under gravitational and boundary effects." , Bull. Inst. Math. Acad. Sin. (N.S.) , 3 (1), 167-210, 2008.
  27. (with Elling, Volker) "Supersonic flow onto a solid wedge." , Comm. Pure Appl. Math. , 61 (10), 1347-1448, 2008.
  28. (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.
  29. (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.
  30. (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.
  31. (with S.-H. Yu) "Green's function of Boltzmann equation, 3-D" , Bull. Inst. Math. Acad. Sin. (N.S.) , 1 (1), 1-78, 2006.
  32. (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.
  33. (with V. Elling) "The ellipticity principle for self-similar potential flows." , J. Hyperbolic Differ. Equ. , 2 (4), 909-917, 2005.
  34. (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.
  35. (with C.-C. Chen and T. Yang) "Existence of boundary layer solutions to the Boltzmann equation" , Anal. Appl. (Singap.) , 2 (4), 337-363, 2004.
  36. (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.
  37. (with Yang, Tong; Yu, Shih-Hsien) "Energy method for Boltzmann equation" , Phys. D , 188 (3-4), 178-192, 2004.
  38. (with Yu, Shih-Hsien) "Boltzmann equation: micro-macro decompositions and positivity of shock profiles" , Comm. Math. Phys. , 246 (1), 133-179, 2004.
  39. (with T. Ruggeri) "Entropy production and admissibility of shocks" , Acta Math. Appl. Sin. Engl. Ser. , 19, 1-12, 2003.
  40. (with Y. Deng, T. Yang, and T. Yao) "Solutions with vacuum for Euler-Poisson equations" , Arch. Rational Mech. Anal. , 164 (3), 261-285, 2002.
  41. (with T. Yang) "Weak Solutions to General Systems of Hyperbolic Conservation Laws" , Comm. Math. Phys. , 230 (2), 289-327, 2002.
  42. "Shock waves. Proceedings of the International Congress of Mathematicians" , Higher Ed. Press (Beijing) , III, 185-188, 2002.
  43. (with T. Yang and Y. Zheng) "Some nonlinear functionals for scalar conservation laws" , Methods Appl. Anal. , 8 (4), 609-622, 2001.
  44. "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.
  45. (with S.H. Yu) "145Hyperbolic conservation laws and dynamic systems" , Discrete Contin. Dynam. Systems , 6 (1), 143-145, 2000.
  46. "L1 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.
  47. (with W.-C. Lien) "Nonlinear stability of a self-similar 3-dimensional gas flow" , Comm. Math. Phys. , 204 (3), 525-549, 1999.
  48. (with W.-C. Lien) "Nonlinear stability of a self-similar 3-dimensional gas flow" , Comm. Math. Phys. , 204 (3), 525-549, 1999.
  49. (with S.-H. Yu) "Nonlinear stability of weak detonation waves for a combustion model" , Comm. Math. Phys. , 204, 551-586, 1999.
  50. (with T. Yang) "Well-posedness theory for hyperbolic conservation l aws, Comm. Pure Appl. Math. LII" , Comm. Pure Appl. Math. , II, 1553-1586, 1999.
  51. (with S.-H. Yu) "Continuum shock profiles for discrete conservation laws, II. Stability. Comm. Pure Appl. Math. LII (1999), 1047-1073." , 1999.
  52. (with T. Yang) "A generalized entropy for scalar conservation laws" , Comm. Pure Appl. Math. , LII, 1427-1442, 1999.
  53. (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.
  54. (with A. Bressan and T. Yang) "L1 stability estimates for nxn conservatiob laws" , Archive Rational Mech. Anal. , 1998.
  55. (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.
  56. (with T. Yang) "L1 stability of conservation laws with coinciding Hugoniot and characteristic curves" , Indiana Univ. Math. J. , 1998.
  57. (with T. Yang) "(with ) L1 stability of 2x2 systems of hyperbolic conservation laws" , J. Amer. Math. Soc. , 729-772, 1998.
  58. (with Z. Xin and T. Yang) "Vacuum states for compressible flow" , Disc. Cont. Dyn. Ana. , 4, 1-32, 1998.
  59. "Zero dissipation and stability of shock waves" , Methods and Appl. Analysis , 5, 81-94, 1998.
  60. (with W. Wang) "The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd dimensions" , Comm. Math. Phys. , 196, 145-173, 1998.
  61. (with S.-H. Yu) "Continuum shock profiles for discrete conservation laws, I. Construction" , Comm. Pure Appl. Math. , 1998.
  62. (with Y. Zeng) "Compressible Navier-Stokes equations with zero heat conductivity" , J. D. E. , 1998.
  63. "Regularization of solution operators for quasilinear hyperbolic-parabolic partial differential equations" , J. Partial Differential Equations , 10 (4), 347-354, 1997.
  64. (with T. Yang) "L1 stability of constant states for hyperbolic conservation laws" , Methods and Appl. Analysis , 4, 339-355, 1997.
  65. (with K. Nishihara) "Asymptotic behaviour for scalar viscous conservation law with boundary effect" , J.D.E. , 133, 296-320, 1997.
  66. (with Z. Xin) "Pointwise decay to contact continuities for viscous conservation laws" , Asian J. Math. , 1, 34-84, 1997.
  67. (with T. Yang) "Compressible Euler equations with vacuum" , J.D.E. , 140, 223-237, 1997.
  68. "Pointwise convergence to shock waves for viscous conservaton laws, Comm. Pure Appl. Math. L (1997)" , Comm. Pure Appl. Math. , L, 1113-1182, 1997.
  69. (with S. Yu) "Propagation of Burgers stationary shocks under boundary effect" , Archive Rational Mech. Anal. , 139, 57-82, 1997.
  70. (with Y. Zeng) "Large time behavior of solutions of general quasilinear hyperbolic-parabolic systems of conservation laws" , Memoirs, Amer. Math. Soc. , 599, 1997.
  71. (with D. Li and D. Tan) "Stability of strong detonation travelling waves to combustion model" , J. Math. Anal. Appl. , 201, 516-531, 1996.
  72. "Gas flows with damping and vacuum" , Japan J. Indus. and Appl. Math. , 13, 25-32, 1996.
  73. "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.
  74. (with K. Zumbrum) "On nonlinear stability of general undercompressive viscous shock waves" , Comm. Math. Phys. , 175, 319-345, 1995.
  75. (with K. Zumbrun) "Nonlinear stability of an undercompressive shock for complex Burgers equation" , Comm. Math. Physics , 168, 163-186, 1995.
  76. (with L. Ying) "Nonliner stability strong detonations for a combustion model" , SIAM J. of Math. Anal. , 26, 519-528, 1995.
  77. (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.
  78. "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.
  79. (with G.-Q. Chen and D. Levermore) "Hyperbolic conservation laws with stiff relaxation terms and entropy" , Comm. Pure Applied Math. , 47, 787-830, 1994.
  80. "Nonlinear evolutionary partial differential equations." , Proceedings of the International Conference held in Beijing , 21-25, 1993-06.
  81. (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.
  82. "Nonlinear waves for viscous conservation laws" , Nonlinear evolutionary partial differential equations , 65-74, 1993.
  83. (with L. Hsiao) "Nonlinear diffusive phenomena of nonlinear hyperbolic systems" , Chin.Ann. Math. , 14B, 465-480, 1993.
  84. (with P. Le Floch) "Existence theory for nonlinear hyperbolic systems in nonconservative form" , Forum Math. , 5, 261-280, 1993.
  85. (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.
  86. (with G.-Q. Chen) "Zero relaxation and dissipation limits for hyperbolic conservation laws" , Comm. Pure Appl. Math. , 46, 755-781, 1993.
  87. (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.
  88. (with Z. Xin) "Stability of viscous shock waves associated with a nonstrictly hyperbolic conservantion law, Comm. Pure Appl. Math., XLV (1992), 361-388." , 1992.
  89. "Interaction of nonlinear hyperbolic waves, Nonlinear Analysis" , Academia Sinica, R.O.C., World Scientific , 171-184, 1991.
  90. "Nonlinear hyperbolic-parabolic p.d.e., Nonlinear Analysis" , Academia Sinica, R.O.C., World Scientific , 161-170, 1991.
  91. "Viscosity criterion for hyperbolic conservation laws" , Proc. SIAM. Ed. M. Shearer , 1991.
  92. (with T. Zheng) "A scalar combustion model" , Arch. Rational Mech. Anal. , 114, 297-312, 1991.
  93. "On the viscosity criterion for hyperbolic conservation laws. Viscous profiles and numerical methods for shock waves (Raleigh, NC, 1990), 105-114." , 1990.
  94. (with S. Hsu) "Nonlinear singular Sturm-Liouville problem and application to transonic flow through a nozzle" , Comm. Pure Appl. Math. , 43, 31-61, 1990.
  95. (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.
  96. "Nonlinear hyperbolic waves. Nonlinear hyperbolic equations in applied sciences. Rend. Sem. Mat. Univ. Politec. Torino 1988, Special Issue, 269--277 (1989)." , 1989.
  97. "Nonlinear analysis. Papers from the conference held in Taipei, June 19--24, 1989" , 1989.
  98. "Geometric theory of shock waves. Multidimensional hyperbolic problems and computations (Minneapolis, MN, 1989), 198-202." , 1989.
  99. (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.
  100. (with Hsu, Sze-Bi) "Local uniqueness of interior layer solution and its related stability property." , Nonlinear analysis (Taipei) , 51-60, 1989.
  101. "Quasilinear hyperbolic-parabolic partial differential equations" , Algebra, analysis and geometry (Taipei) , 185-197, 1988.
  102. (with Z. Xin) "Nonlinear stability of rarefaction waves for compressible Navier--Stokes equations" , Comm. Math. Phys. , 451-465, 1988.
  103. "Nonlinear waves for viscoelasticity with fading memory" , J. Diff. Equ. , 76, 26-46, 1988.
  104. "Nonlinear resonance for quasilinear hyperbolic equation" , J. Math. Phys. , 28, 2593-2602, 1987.
  105. "Hyperbolic conservation laws with relaxation" , Comm. Math. Phys. , 108, 153-175, 1987.
  106. "Pointwise convergence to $N$-waves for hyperbolic conservation laws" , Bulletin, Inst. Math., Academia Sinica , 15, 1-17, 1987.
  107. "Hyperbolic conservation laws and related topics. Partial differential equations of hyperbolic type and applications, 113--139, World Sci. Publishing, Singapore, 1987." , 1987.
  108. (with I-L. Chern) "Convergence to diffusion waves of solutions for viscous conservation laws" , Comm. Math. Phys. , 110, 503-517, 1987.
  109. (with R. Caflisch) "Stability of shock waves for the Broadwell equations" , Comm. Math. Phys. , 39, 565-594, 1986.
  110. "Shock waves for compressible Navier-Stokes equations are stable" , Comm. Pure Appl. Math. , 39, 565-594, 1986.
  111. (with L. P. Huang) "Piecewise steady elements and Godunov-type difference scheme for duct flow" , Comp. & Maths. with Appls. , 12A, 377-388, 1986.
  112. "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.
  113. "Nonlinear stability of shock waves for viscous conservation laws, Memoirs" , Amer. Math. Soc. , 328, 1985.
  114. "Nonlinear stability of shock waves for viscous conservation laws" , Amer. Math. Soc. (N.S.) , 12 (2), 233-236, 1985.
  115. (with C. H. Wang) "On a system of nonstrictly hyperbolic system" , J.D.E. , 57, 1-14, 1985.
  116. "Stability of nonlinear waves. Metastability and incompletely posed problems" , Minneapolis, Minn. , 259-267, 1985.
  117. (with H. Galz) "The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow" , Advances Appl. , 5, 111-146, 1984.
  118. (with M. Pierre) "Source-solutions and asymptotic behavior in conservation law" , J. Diff. Equ. , 51, 419-441, 1984.
  119. (with C. Li) "Asymptotic states for hyperbolic conservation laws with a moving source" , Advances in Appl. Math. , 4, 353-379, 1983.
  120. "Resonance for quasilinear hyperbolic equation" , Bulletin Amer. Math. Soc. , 6, 463-465, 1982.
  121. (with A. Chorin and Z. H. Teng) "Riemann problems for reacting gas with applications to transitions" , SIAM J. Appl. Math. , 42, 964-981, 1982.
  122. "Nonlinear stability and instability of transonic flows through a nozzle" , Comm. Math. Phys. , 83, 243-260, 1982.
  123. "Transonic gas flow in a duct of varying area" , Arch. Rat. Mech. and Anal. , 80, 1-18, 1982.
  124. "Admissible solutions of hyperbolic conservation laws, Memoirs" , Amer. Math. Soc. , 240, 1981.
  125. (with Conlon, Joseph G.) "Admissibility criteria for hyperbolic conservation laws" , Indiana Univ. Math. J. , 30 (5), 641-652, 1981.
  126. (with J. Smoller) "On the vacuum state for isentropic gas dynamics equations" , Advances in Math. , 1, 345-359, 1980.
  127. "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.
  128. "A system of quasilinear hyperbolic partial differential equations. Trends in applications of pure mathematics to mechanics, Vol. III (Edinburgh, 1979), 179-189." , 1979.
  129. "Quasilinear hyperbolic systems68" , Comm. Math. Phys. , 68, 142-172, 1979.
  130. "Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations" , J. Diff. Equations, , 33, 92-111, 1979.
  131. (with S. Antman) "Traveling waves in hyperelastic rods" , Quarterly of Appl. Math. , 36, 377-399, 1979.
  132. "The free piston problem for gas dynamics" , J. of Diff. Equations , 39, 175-191, 1978.
  133. "Invariants and asymptotic behavior of solution of a conservation law" , Proceedings of A.M.S. , 71, 227-231, 1978.
  134. "Asymptotic behavior of solutions of general systems of nonlinear hyperbolic conservation laws" , Indiana Univ. J. , 27, 211-253, 1978.
  135. "The deterministic version of the Glimm scheme" , Comm. Math. Phys. , 57, 135-148, 1977.
  136. "Linear and nonlinear large-time behaviors of solutions of hyperbolic conservation laws" , Comm. Pure Appl. Math. , 30, 767-796, 1977.
  137. "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.
  138. "Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws" , Comm. Pure Appl. Math , 30, 586-611, 1977.
  139. "Initial-boundary value problems for gas dynamics" , Arc. Rat. Mech. and Anal. , 64, 137-168, 1977.
  140. "Solutions in the large for equations of nonisentropic gas dynamics" , Indiana Univ. J. , 26, 144-177, 1977.
  141. "The entropy condition and the admissibility of shocks" , J. of Math. Anal. and Applications , 53, 75-88, 1976.
  142. "Shock waves in nonisentropic gas flow" , J. Diff. Equations , 22, 442-452, 1976.
  143. "Uniqueness theorem of the Cauchy problem for general 2 X 2 conservation laws" , J. Diff. Eqs. , 20, 369-388, 1976.
  144. "Existence and uniqueness theorems for Riemann problems" , Transactions of A.M.S. , 212, 375-382, 1975.
  145. "The Riemann Problem for general systems of conservation laws" , J. Diff. Equations , 18, 218-234, 1975.
  146. "The Riemann problem for general 2 X 2 conservation Laws" , Transactions of A.M.S. , 199, 89-112, 1974.
  147. (with S. Cox) "Zero-memory limit for a viscoelasticity model with Riemann data (preprint)."
Director & Deputy Director