SELECTED PAPERS

• Convergence of shock capturing schemes for the compressible Euler-Poisson equations (with G.-Q. Chen), Comm. Math. Phys. 179 (1996), 333-364.

• Global solutions to the Euler-Poisson equations of two-carrier types in one dimension, Z. angew. Math. Phys. 48 (1997), 680-693.

• Two carrier semiconductor device models with geometric structure and symmetry properties (with Chen, Jerome and Shu), Modeling and Computation for Applications in Mathematics, Science, and Engineering, Oxford University Press (1998), 103-140.

• Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation (with G.-Q. Chen), J. Diff. Eqs. 144 (1998), 44-65.

• On the Cauchy problem of some dissipative flows, J. Math. Anal. Appl. 218 (1998), 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), 341-362.

• Global solutions and stability for self-gravitating isentropic gases, J. Math. Anal. Appl. 229 (1999), 530-542.

• Compressible Euler-Maxwell equations (with Chen and Jerome), Transport Theory Statist. Phys. 29 (2000), 311-331.

• Global solutions and relaxation limits of Euler-Poisson equations, Z. angew. Math. Phys. 52 (2001), 620-630.

• Global solution to the equations of viscous gas flows, Proc. Royal Soc. Edinburgh, 131A (2001), 437-449.

• Global solution of nonlinear magnetohydrodynamics with large initial data (with G.-Q. Chen), J. Diff. Eqs. 182 (2002), 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, 2002.

• Global solutions of the Navier-Stokes equations for viscous compressible flows, Nonlinear Analysis 52 (2003), 1867-1890.

• On the global solution and interface behaviour of viscous compressible real flow with free boundaries, Nonlinearity 16 (2003), 719-733.

• Existence and continuous dependence of large solutions for the magnetohydrodynamic equations (with G.-Q. Chen), Z. angew. Math. Phys. 54 (2003), 608-632.

• Long time behavior of solutions to the 3D compressible Euler equations with damping (with Sideris & Thomases), Comm. Partial Differential Equations 28 (2003), no. 3-4, 795-816.

• Large solutions to the initial-boundary value problem for planar magnetohydrodynamics, SIAM J. Appl. Math. 63 (2003), 1424-1441.

• The initial-boundary value problem for real viscous heat-conducting flows with shear viscosity , Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), no. 4, 969-986.

• Global solution for the mixture of real compressible reacting flows in combustion , Commun. Pure Appl. Anal. (2004), vol. 3, no. 4, 775-790.

• On global solutions to the multi-dimensional Euler equations of compressible fluid flows, in "Analytical Approaches to Multidimensional Balance Laws", Nova Science Publishers, 2005, 207-242.

• A multidimensional piston problem for the Euler equations for compressible flow (with G.-Q. Chen, S.-X. Chen, and Z. Wang), Discrete and Continuous Dynamical Systems - Series A, 13 (2005), 361-383.

• Blowup phenomena of solutions to the Euler equations for compressible fluid flow (with T. Li), Journal of Differential Equations, 221 (2006), 91-101.

• Large BV solutions to the compressible isothermal Euler-Poisson equations with spherical symmetry (with Z. Wang), Nonlinearity 19 (2006), 1985-2004.

• On two-dimensional sonic-subsonic flow (with G.-Q. Chen, C. Dafermos, and M. Slemrod), Commun. Math. Phys. 271 (2007), 635-647.

• Global solution for rotating compressible plasma flow with large data (with Z. Wang), J. Hyperbolic Diff. Equ. Vol. 4, No. 2 (2007), 351-368.

• Global entropy solution for the system of isothermal self-gravitating isentropic gases (with Z. Wang), Proc. Roy. Soc. Edinburgh 138A (2008), 407-426.

• Vanishing viscosity method for transonic flow (with G.-Q. Chen, and M. Slemrod), Arch. Rational Mech. Anal. 189 (2008), 159-188.

• Global solutions to the three-dimensional full compressible magnetohydrodynamic flows (with X. Hu), Commun. Math. Phys. 283 (2008), 255-284.

• Compactness of weak solutions to compressible magnetohydrodynamics equations with density-dependent viscosities (with X. Hu), J. Differential Equations 245 (2008), 2176-2198.

• Evolution of discontinuity and triple shock structure for a system of two-dimensional conservation laws (with G.-Q. Chen and X. Yang), SIAM J. Math. Anal. 41 (2009), 1-25.

• Isometric immersions and compensated compactness (with G.-Q. Chen, and M. Slemrod), to appear in Commun. Math. Phys.

• Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows (with X. Hu), to appear in Arch. Rational Mech. Anal.

• A fluid dynamic formulation of the isometric embedding problem in differential geometry (with G.-Q. Chen, M. Slemrod), to appear in Quarterly of Appl. Math.

• Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding (with G.-Q. Chen, and M. Slemrod), to appear in Proceedings of the American Mathematical Society.

• Formation of singularities of solutions to the three-dimensional Euler-Boltzmann equations in radiation hydrodynamics (with P. Jiang), preprint.

• Strong solutions to the compressible viscoelastic fluids (with X. Hu), preprint.

• Global solution to the three-dimensional incompressible flow of liquid crystals (with X. Hu), preprint.

• On the Cauchy problem for the Vlasov-Maxwell-Boltzmann equations: weak stability and large time behavior (with X. Hu), preprint.

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