Publications Convergence of shock capturing schemes for the compressible Euler-Poisson equations (with G.-Q. Chen). Comm. Math. Phys. 179 (1996), no. 2, 333-364. Global solutions to the Euler-Poisson equations of two-carrier types in one dimension. Z. Angew. Math. Phys. 48 (1997), no. 4, 680-693. Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation (with G.-Q. Chen). J. Differential Equations 144 (1998), no. 1, 44-65. On the Cauchy problem of some dissipative flows. J. Math. Anal. Appl. 218 (1998), no. 2, 479-494. Shock capturing approximations to the compressible Euler equations with geometric structure and related equations (with G.-Q. Chen). Z. Angew. Math. Phys. 49 (1998), no. 3, 341-362. Two-carrier semiconductor device models with geometric structure and symmetry properties (with G.-Q. Chen, J. Jerome, C.-W. Shu). Modelling and computation for applications in mathematics, science, and engineering, 103-140, Numer. Math. Sci. Comput., Oxford Univ. Press, New York, 1998. Global solutions and stability for self-gravitating isentropic gases. J. Math. Anal. Appl. 229 (1999), no. 2, 530-542. Compressible Euler-Maxwell equations (with G.-Q. Chen, J. Jerome). Transport Theory Statist. Phys. 29 (2000), no. 3-5, 311-331. Global solutions and relaxation limits of Euler-Poisson equations. Z. Angew. Math. Phys. 52 (2001), no. 4, 620-630. Global solution to the equations of viscous gas flows. Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), no. 2, 437-449. Global solutions of nonlinear magnetohydrodynamics with large initial data (with G.-Q. Chen). J. Differential Equations 182 (2002), no. 2, 344-376. The Cauchy problem for the Euler equations for compressible fluids (with G.-Q. Chen). Handbook of mathematical fluid dynamics, Vol. I, 421-543, North-Holland, Amsterdam, 2002.   PDF Global solutions of the Navier-Stokes equations for viscous compressible flows. Nonlinear Anal. 52 (2003), no. 8, 1867-1890. On the global solution and interface behaviour of viscous compressible real flow with free boundaries. Nonlinearity 16 (2003), no. 2, 719-733. Large solutions to the initial-boundary value problem for planar magnetohydrodynamics. SIAM J. Appl. Math. 63 (2003), no. 4, 1424-1441. Existence and continuous dependence of large solutions for the magnetohydrodynamic equations (with G.-Q. Chen). Z. Angew. Math. Phys. 54 (2003), no. 4, 608-632. The initial--boundary-value problem for real viscous heat-conducting flow with shear viscosity. Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), no. 4, 969-986. Global existence and dynamical properties of large solutions for combustion flows. Discrete Contin. Dyn. Syst. 2003, suppl., 888-897. Large-time behavior of solutions to the multi-dimensional Euler equations with damping. Hyperbolic problems: theory, numerics, applications, 919-928, Springer, Berlin, 2003. Long time behavior of solutions to the 3D compressible Euler equations with damping (with T. Sideris, B. Thomases). Comm. Partial Differential Equations 28 (2003), no. 3-4, 795-816.   PDF Global solution for the mixture of real compressible reacting flows in combustion. Commun. Pure Appl. Anal. 3 (2004), no. 4, 775-790. A multidimensional piston problem for the Euler equations for compressible flow (with G.-Q. Chen, S.-X. Chen, Z. Wang). Discrete Contin. Dyn. Syst. 13 (2005), no. 2, 361-383. Blowup phenomena of solutions to the Euler equations for compressible fluid flow (with T. Li). J. Differential Equations 221 (2006), no. 1, 91-101. Large BV solutions to the compressible isothermal Euler-Poisson equations with spherical symmetry (with Z. Wang). Nonlinearity 19 (2006), no. 8, 1985-2004. On global solutions of multi-dimensional compressible fluid flows. Analytical approaches to multidimensional balance laws, 209-241, Nova Sci. Publ., New York, 2006. On two-dimensional sonic-subsonic flow (with G.-Q. Chen, C. Dafermos, M. Slemrod). Comm. Math. Phys. 271 (2007), no. 3, 635-647.   PDF Global solution for rotating compressible plasma flow with large data (with Z. Wang). J. Hyperbolic Differ. Equ. 4 (2007), no. 2, 351-368. Global entropy solution for the system of isothermal self-gravitating isentropic gases (with Z. Wang). Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), no. 2, 407-426. Vanishing viscosity method for transonic flow (with G.-Q. Chen, M. Slemrod). Arch. Rational Mech. Anal. 189 (2008), no. 1, 159-188.   PDF Global solutions to the three-dimensional full compressible magnetohydrodynamic flows (with X. Hu). Commun. Math. Phys. 283 (2008), no. 1, 255-284.   PDF Compactness of weak solutions to compressible magnetohydrodynamics equations with density-dependent viscosities (with X. Hu). J. Differential Equations 245 (2008), no. 8, 2176-2198.   PDF Evolution of discontinuity and triple shock structure for a system of two-dimensional conservation laws (with G.-Q. Chen, X. Yang). SIAM J. Math. Anal. 41 (2009), no. 1, 1-25.   PDF Low Mach number limit of viscous compressible magnetohydrodynamic flows (with X. Hu). SIAM J. Math. Anal. 41 (2009), no. 3, 1272-1294.   PDF Conservation laws: transonic flow and differential geometry (with G.-Q. Chen, M. Slemrod). Hyperbolic problems: theory, numerics and applications, 217-226, Proc. Sympos. Appl. Math., 67, Part 1, Amer. Math. Soc., Providence, RI, 2009.   PDF Global existence and incompressible limit of weak solutions to the multi-dimensional compressible magnetohydrodynamics (with X. Hu). Hyperbolic problems: theory, numerics and applications, 663-672, Proc. Sympos. Appl. Math., 67, Part 2, Amer. Math. Soc., Providence, RI, 2009. Isometric immersions and compensated compactness (with G.-Q. Chen, and M. Slemrod). Commun. Math. Phys. 294 (2010), no. 2, 411-437.   PDF A fluid dynamic formulation of the isometric embedding problem in differential geometry (with G.-Q. Chen, M. Slemrod). Quart. Appl. Math. 68 (2010), no. 1, 73-80.   PDF Formation of singularities of solutions to the three-dimensional Euler-Boltzmann equations in radiation hydrodynamics (with P. Jiang). Nonlinearity 23 (2010), no. 4, 809-821.   PDF Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding (with G.-Q. Chen, and M. Slemrod). Proc. Amer. Math. Soc. 138 (2010), no. 5, 1843-1852.   PDF Global solution to the three-dimensional incompressible flow of liquid crystals (with X. Hu). Comm. Math. Phys. 296 (2010), no. 3, 861-880.   PDF Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows (with X. Hu). Arch. Ration. Mech. Anal. 197 (2010), no. 1, 203-238.   PDF Local strong solution to the compressible viscoelastic flow with large data (with X. Hu). J. Differential Equations 249 (2010), no. 5, 1179-1198.   PDF Global existence for the multi-dimensional compressible viscoelastic flows (with X. Hu). J. Differential Equations 250 (2011), no. 2, 1200-1231.   PDF Global strong solution to the three-dimensional density-dependent incompressible magnetohydrodynamic flows (with X. Li), J. Differential Equations 251 (2011), no. 6, 1580-1615.   PDF Transonic flows and isometric embeddings (with G.-Q. Chen, M. Slemrod). Nonlinear conservation laws and applications, 257-266, IMA Vol. Math. Appl., 153, Springer, New York, 2011.   PDF Local strong solution to the compressible magnetohydrodynamic flow with large data (with X. Li, N. Su), J. Hyperbolic Differ. Equ. 8 (2011), no. 3, 415-436.   PDF Global weak solutions to the Euler-Boltzmann equations in radiation hydrodynamics (with P. Jiang), Quart. Appl. Math. 70 (2012), 25-44.   PDF Global solutions to the incompressible magnetohydrodynamic equations (with X. Li), Commun. Pure Appl. Anal. 11 (2012), no. 2, 763-783.   PDF Mixed type problems for transonic flow in gas dynamics and isometric embedding in geometry (with G.-Q. Chen, M. Slemrod), Hyperbolic problems: theory, numerics and applications, 148-159. Series in Contempory Applied mathematics CAM 17, Higher Educational Press, Beijing, 2012.   PDF Global solution to the incompressible flow of liquid crystals (with X. Li), J. Differential Equations 252 (2012), 745-767.   PDF Formation of singularity for compressible viscoelasticity (with X. Hu), Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 1, 109-128.   PDF Global weak solution and large-time behavior for the compressible flow of liquid crystals (with C. Yu). Arch. Ration. Mech. Anal. 204 (2012), no. 3, 881-915.   PDF Strong solutions to the three-dimensional compressible viscoelastic fluids (with X. Hu). J. Differential Equation 252 (2012), 4027-4067.   PDF Book Edited: IMA Volume in Mathematics and its Applications: Nonlinear Conservation Laws and Applications, vol. 153, Springer-Verlag: New York, 2011 (with Alberto Bressan, Gui-Qiang Chen, and Marta Lewicka). BACK TO RESEARCH PAGE