Some Recent Publications and Preprints

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

• 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.

• Low Mach number limit of viscous compressible magnetohydrodynamic flows (with X. Hu), SIAM J. Math. Anal. 41 (2009), 1272-1294.

• Isometric immersions and compensated compactness (with G.-Q. Chen, and M. Slemrod), Commun. Math. Phys. 294 (2010), 411-437.

• 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.

• Global solution to the three-dimensional incompressible flow of liquid crystals (with X. Hu), to appear in Commun. Math. Phys.

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

• Local strong solution to the compressible viscoelastic fluid with large data (with X. Hu), preprint.

• Strong solutions to the three-dimensional compressible viscoelastic fluids (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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