Some Recent Papers

  • On two-dimensional sonic-subsonic flow (with G.-Q. Chen, C. Dafermos, M. Slemrod). Comm. Math. Phys. 271 (2007), no. 3, 635-647.   PDF

  • 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

  • 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

  • Global solution to the incompressible flow of liquid crystals (with X. Li), J. Differential Equations 252 (2012), 745-767.   PDF

  • Global weak solution and large-time behavior for the compressible flow of liquid crystals (with C. Yu). To appear in Arch. Rational Mech. Anal.   PDF

  • Strong solutions to the three-dimensional compressible viscoelastic fluids (with X. Hu). To appear in J. Differential Equations.   PDF

  • Weak stability and large time behavior for the Cauchy problem of the Vlasov-Maxwell-Boltzmann equations (with X. Hu), preprint.   PDF

  • The initial-boundary value problem for the compressible viscoelastic fluids (with X. Hu), preprint.   PDF

  • Incompressible magnetohydrodynamic limit of the Vlasov-Maxwell-Boltzmann equations (with X. Hu), preprint.   PDF

  • Incompressible limit for the compressible flow of liquid crystals (with C. Yu), preprint.   PDF

  • Formation of singularity for compressible viscoelasticity (with X. Hu), preprint.

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