Updated November 6, 2013
  1. Two-dimensional Riemann Problem for a Single Conservation Law, (with Tong Zhang), Transactions of the American Mathematical Society, 312(1989), 589--619.
  2. Conjecture on Structure of Solutions of Riemann Problem for 2-D Gasdynamic Systems, (with Tong Zhang), SIAM Journal on Mathematical Analysis, 21(1990), 593--630.
  3. Concentration-Cancellation for the Velocity Fields of Two Dimensional Incompressible Fluid Flows, Communications in Mathematical Physics, 135 (1991), 581--594.
  4. Delta-Shock Waves as Limits of Vanishing Viscosity for Hyperbolic Systems of Conservation Laws, (with Dechun Tan and Tong Zhang), Journal of Differential Equations, 112(1994), 1--32.
  5. Existence of Global Weak Solutions to One-Component Vlasov-Poisson and Fokker-Planck-Poisson Systems in One Space Dimension with Measures as Initial Data, (with Andrew Majda), Commu. Pure Appl. Math., XLVII(1994), 1365-1401.
  6. On a Nonlinear Hyperbolic Variational Equation: I. Global Existence of Weak Solutions, (with John Hunter), Arch. Rat. Mech. Anal., 129(1995), 305--353.
  7. On a Nonlinear Hyperbolic Variational Equation: II. The Zero Viscosity and Dispersion Limits, (with John Hunter), Arch. Rat. Mech. Anal., 129(1995), 355--383.
  8. Concentrations in the One-Dimensional Vlasov-Poisson Equations, I: Temporal Development and Non-unique Weak Solutions in the Single Component Case, (with Andrew Majda and George Majda), Physica D., 74(1994), 268-300.
  9. Concentrations in the One-Dimensional Vlasov-Poisson Equations, II: Screening and the Necessity for Measure-valued Solutions in the Two Component Case, (with Andrew Majda and George Majda), Physica D., 79(1994), 41-76.
  10. Singularities of a Variational Wave Equation, (with Bob Glassey and John Hunter), Journal of Differential Equations, 129(1996), 49-78.
  11. Existence of Solutions to the Transonic Pressure-Gradient Equations of the Compressible Euler Equations in Elliptic Regions, Communications in Partial Differential Equations, 22(1997), 1849--1868.
  12. Axisymmetric Solutions of the Euler Equations for Polytropic Gases, (with Tong Zhang), Arch. Rat. Mech. Anal. 142(1998), pp 253--279 Abstract
  13. Convergence of the Vanishing Viscosity Approximation for Superpositions of Confined Eddies, (with Milton Lopes Filho and Helena Nussenzveig Lopes), Commun. Math. Phys., 201(1999), 291--304. Abstract
  14. Systems of Conservation Laws: Two-Dimensional Riemann Problems, 317pp, Birkhauser, 2001.
  15. Existence and Uniqueness of Solutions to an Asymptotic Equation of a Variational Wave Equation with General Data, (with Ping Zhang), Arch. Rat. Mech. Anal., 155(2000), 1, pp 49--83. Abstract
  16. The Limit from the Schrodinger-Poisson to the Vlasov-Poisson Equations with General Data in One Dimension, (with Ping Zhang and N. Mauser), Comm. Pure Appl. Math., Vol. LV (2002), 582--632. Abstract
  17. Weak Solutions to a Nonlinear Variational Wave Equation, (with Ping Zhang), Arch. Rat. Mech. Anal., 166(2003), 303--319.
  18. Conservative Solutions to a Nonlinear Variational Wave Equation (with Alberto Bressan), Preprint in ps, Comm. Math. Phys., 266(2006), 471-497.
  19. Two-dimensional regular shock reflection for the pressure gradient system of conservation laws, Paper in pdf, Acta Mathematicae Applicatae Sinica Vol. 22 (2006), No. 2, pp. 177--210 (English series).
  20. Shock reflection for the Euler system, Paper in ps, Hyperbolic Problems Theory, Numerics and Applications (Proceedings of the Osaka meeting 2004). Ed. F. Asakura (Chief), H. Aiso, S. Kawashima, A. Matsumura, S. Nishibata, K. Nishihara; Yokohama Publishers (Japan), Vol. II (2006), pp.425--432.
  21. Simple waves and a characteristic decomposition of the two dimensional compressible Euler equations, (with Jiequan Li and Tong Zhang), Comm. Math. Phys., Preprint in pdf, 267(2006), 1--12.
  22. Asymptotic Variational Wave Equations, (with Alberto Bressan and Ping Zhang), Preprint in pdf, Arch. Rat. Mech. Anal., 183(2007), 163-185.
  23. A Complete Global Solution to the Pressure Gradient Equation (with Zhen Lei) Preprint in ps , J. Differential Equations , 236 (2007), 280 -- 292.
  24. Interaction of Rarefaction Waves of the Two-Dimensional Self-Similar Euler Equations (with Jiequan Li) Preprint in pdf , Arch. Rat. Mech. Anal., 193(2009), 623--657.
  25. Transonic shock formation in a rarefaction Riemann problem for the 2-D compressible Euler equations, (author list is James Glimm, Xiaomei Ji, Jiequan Li, Xiaolin Li, Peng Zhang, Tong Zhang, and Yuxi Zheng), Preprint in pdf , SIAM: J. Applied Mathematics, 69(2008), 720--742.
  26. The Interaction of Rarefaction Waves of the Two-Dimensional Euler Equations, with Xiao Chen, Indiana University Mathematics Journal, 59(2010), 231--256.
  27. Conservative solutions to a system of variational wave equations of nematic liquid crystals, with Ping Zhang, Arch. Rat. Mech. Anal., 195(2010), 701--727.
  28. Interaction of Four Rarefaction Waves in the Bi-Symmetric Class of the Two-Dimensional Euler Equations, with Jiequan Li, Comm. Math. Phys., 296(2010), 303-321.
  29. Semi-Hyperbolic Patches of Solutions of the Two-Dimensional Euler equations, with Mingjie Li, Arch. Rat. Mech. Anal, 201(2011), 1069--1096.
  30. Energy conservative solutions to a one-dimensional full variational wave system, (with Ping Zhang), Comm. Pure Appl. Math., 65(2012), 683-726.
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