Viscosity matrices for two-dimensional nonlinear hyperbolic systems, (with C. Conley), Comm. Pure Appl Math, 23, (1970), 867-884.

Solutions in the large for some nonlinear conservation laws, (with T.Nishida), Comm. Pure Appl. Math, 26, (1973) 183-200.

Wave front sets and the viscosity method, (with M. Taylor), Bull. Amer. Math Soc, 79, (1973), 431-436.

Mixed problems for nonlinear conservation laws, (with T. Nishida), J. Diff. Eqns, 23, (1977), 244-269.

Diffusion and the classical ecological interactions, (with E. Conway), Nonlinear Diffusion, Pitman Research Notes in Math, 14, (1977), 53-69.

Large time behavior of systems of nonlinear reaction-diffusion equations, (with E. Conway and D. Hoff), SIAM J. Appl. Math, 35, (1978), 1-16.

On the vacuum state for isentropic gas dynamics, (with TP Liu), Adv. Appl. Math 1, (1980), 345-359.

Topological techniques in reaction-diffision equations, (with C. Conley), Springer Notes in Biolog. Math, 38, (1980), 473-483.

Dispersion and shock-wave structure, (with R. Shapiro), J. Diff. Eqns, 44, (1982), 281-305.

A class of convergent finite difference schemes, (with T. Nishida), Comm. Pure Appl. Math,36, (1983), 785-808.

Existence, uniqueness, and non-degeneracy of positive solutions of semilinear elliptic equations, (with A. Wasserman), Comm. Math. Phy, 95, (1984), 129-159.

Symmetry-breaking for solutions of semilinear elliptic equations with general boundry conditions, (with A. Wasserman), Comm. Math. Phys, 105, (1986), 415-441.

Symmetry, degeneracy, and universality in semilinear elliptic equations, (with A. Wasserman), J. Func. Anal, 89, (1989), 364-409.

Existence of black hole solutions of the Einstein-Yang/Mills equations, (with A. Wasserman), Comm. Math. Phys, 154, (1993), 377-401.

Global solutions of the relativistic Euler equations, (with B. Temple), Comm. Math. Phys, 156, (1993), 67-99.

Shock wave solutions of the Einstein equations, (with B. Temple), Arch. Rat. Mech. Anal, 128, (1993), 249-297.

Solutions of the Oppenheimer-Volkoff equations inside 9/8ths of the Schwarzschild radius, (with B. Temple), Comm. Math. Phys, 184, (1997), 597-617.

Shock waves near the Schwarzchild radius and the stability limit for stars, (with B. Temple), Physical Review D, 55,(1997), 7518-7528.

Extendability of solutions of the Einstein-Yang/Mills equations (with A. Wasserman), Comm. Math. Phys, 194, (1998), 707-732.

The coupling of gravity to spin and electromagnetism, (with F. Finster, and ST Yau), Modern Physics Letters, (14), (1999), 1053-1057. THIS PAPER GOT HONORABLE MENTION , 4th PRIZE, IN THE GRAVITY RESEARCH FOUNDATION CONTEST.

The interaction of Dirac particles with non-abelian gauge fields and gravity—black holes, (with F. Finster and ST Yau), Michigan Math. J., 47, (2000), 199-208.

Non-existence of time-periodic solutions of the Dirac equation in an axi-symmetric black hole geometry, (with F.Finster, N. Kamran, and ST Yau), Comm.Pure Appl. Math, 53, (2000), 902-927.

Non-formation of vacuum states for the compressible Navier-Stokes equations, (with D. Hoff), Comm. Math. Phys, 216, (2001), 255-276.

The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry, (with F.Finster, N.Kamran and ST Yau), Adv. Theor.Math.Phys, 7, (2003), 25-52.

Rotating fluids with self-gravitation in bounded domains, (with T. Luo), Arch. Rat. Mech. Anal), 173, (2004), 345-377.

Cosmology, black holes, and shock waves beyond the Hubble distance, (with B. Temple), Methods and Appl. of Anal, 11, (2004), 77-133.

An integral spectral representation of the propagator for the wave equation in the Kerr geometry, (with F.Finster, N.Kamran, and ST Yau), Comm. Math. Phys, 260, (2005), 257-298.

Blowup of smooth solutions for the relativistic Euler equation, (with R. Pan), Comm. Math. Phys, 282, (2006), 729-755.

Decay of solutions of the wave equation in the Kerr Geometry, (with F.Finster, N.Kamran, and ST Yau), Comm. Math. Phys, 264, (2006), 465-503.

BOOK: Shock Waves and the Initial-Value Problem in General Relativity, (with B. Temple and J. Groah), Springer Monographs in Mathematics, Springer-Verlag, (2007).

Nonlinear stability of Newtonian rotating and non-rotating white dwarf and supermassive stars, (with T. Luo), Comm. Math. Phys, 284, (2008), 425-457.

Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations, (with T. Luo), Arch. Rat. Mech. Anal, 191, 447-496.

Linear stability of the Teukolsky Equation for Higher Spin in the Schwarzschild Geometry(with F.Finster), Adv. Theor.Math. Phys, 13, (2009), 71-110.

A rigorous treatment of energy extraction from a rotating black hole, (with F. Finster, N. Kamran, and ST Yau), Comm. Math. Phys, (2009), 287, 829-947.

Linear waves in the Kerr geometry: a mathematical voyage to black hole physics, (with F.Finster, N.Kamran, and ST Yau), Bull Amer. Math. Soc, 46, 635-660.

Error Estimates for Approximate Solutions of the Riccoti Equation with Real or Complex Potentials, (with F. Finster), Arch. Rat. Mech. Anal, 197, 985-1109.

A One Parameter Family of Expanding Wave Solutions of the Einstein Equations That Induces an Anomalous Acceleration into the Standard Model of Cosmology, (with B. Temple), submitted.

General Relativistic Self-Similar Waves that Induce an Anomalous Acceleration into The Standard Model of Cosmology, (with B. Temple), Memoirs of the Amer. Math. Soc. (to appear).

Asymptotic Behavior of Massless Dirac Waves in the Schwarzschild Geometry, (with C. Xie), Annales Institut Poincaré, (to appear).