- Two-dimensional Riemann Problem for a Single Conservation Law,
(with Tong Zhang),
**Transactions of the American Mathematical Society**, 312(1989), 589--619. - 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. - Concentration-Cancellation for the Velocity Fields of Two Dimensional Incompressible Fluid Flows,
**Communications in Mathematical Physics**, 135 (1991), 581--594. - 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. - 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. - On a Nonlinear Hyperbolic Variational Equation: I. Global Existence of Weak Solutions,
(with John Hunter),
**Arch. Rat. Mech. Anal.**, 129(1995), 305--353. - On a Nonlinear Hyperbolic Variational Equation: II. The Zero Viscosity and Dispersion Limits,
(with John Hunter),
**Arch. Rat. Mech. Anal.**, 129(1995), 355--383. - 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. - 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. - Singularities of a Variational Wave Equation,
(with Bob Glassey and John Hunter),
**Journal of Differential Equations**, 129(1996), 49-78. - 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. - Axisymmetric Solutions of the Euler Equations for Polytropic Gases,
(with Tong Zhang),
**Arch. Rat. Mech. Anal.**142(1998), pp 253--279 Abstract - 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 - Systems of Conservation Laws: Two-Dimensional Riemann Problems, 317pp, Birkhauser, 2001.
- 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 - 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 - Weak Solutions to a Nonlinear Variational Wave Equation,
(with Ping Zhang),
**Arch. Rat. Mech. Anal.,**166(2003), 303--319. - Conservative Solutions to a Nonlinear Variational Wave Equation
(with Alberto Bressan), Preprint in ps,
**Comm. Math. Phys.,**266(2006), 471-497. - 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). - 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. - 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. - Asymptotic Variational Wave Equations, (with Alberto Bressan and
Ping Zhang), Preprint in pdf,
**Arch. Rat. Mech. Anal.,**183(2007), 163-185. - A Complete Global Solution to the Pressure Gradient Equation
(with Zhen Lei) Preprint in ps ,
**J. Differential Equations**, 236 (2007), 280 -- 292. - 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. -
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. - The Interaction of Rarefaction Waves of the Two-Dimensional Euler Equations,
with Xiao Chen,
**Indiana University Mathematics Journal**, 59(2010), 231--256. - Conservative solutions to a system of variational wave equations of nematic liquid crystals, with Ping Zhang,
**Arch. Rat. Mech. Anal.**, 195(2010), 701--727. - 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. - Semi-Hyperbolic Patches of Solutions of the Two-Dimensional Euler equations, with
Mingjie Li,
**Arch. Rat. Mech. Anal**, 201(2011), 1069--1096. - Energy conservative solutions to a one-dimensional full variational wave system, (with Ping Zhang),
**Comm. Pure Appl. Math.**, 65(2012), 683-726.