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

  • Global existence for the multi-dimensional compressible viscoelastic flows (with X. Hu). J. Differential Equations 250 (2011), no. 2, 1200-1231.   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

  • On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain (with F. Jiang, S. Jiang), J. Functional Anal. 265 (2013), no. 12, 3369-3397.   PDF

  • Entropy, elasticity, and the isometric embedding problem (with G.-Q. Chen and M. Slemrod). Hyperbolic Conservation Laws and Related Analysis with Applications, 95-112, Springer, 2014.   PDF

  • Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions (with F. Jiang, S. Jiang), Arch. Ration. Mech. Anal. 214 (2014), no. 2, 403-451.   PDF

  • Incompressible limit for the compressible flow of liquid crystals (with C. Yu). J. Mathematical Fluid Mechanics 16 (2014), no. 4, 771-786.   PDF

  • Global weak solution for a coupled compressible Navier-Stokes and Q-tensor system (with X. Xu, C. Yu). Commun. Math. Sci. 13 (2015), no. 1, 49-82.   PDF

  • Global weak solution to the inhomogeneous Navier-Stokes-Vlasov equations (with C. Yu). J. Differential Equations 259 (2015), no. 8, 3976-4008.   PDF

  • Isometric immersions of surfaces with two classes of metrics and negative Gauss curvature (with W. Cao and F. Huang). Arch. Ration. Mech. Anal. 218 (2015), no. 3, 1431-1457.   PDF

  • Rectilinear vortex sheets of inviscid liquid-gas two-phase flow: linear stability (with L. Ruan, S. Weng, C. Zhu). Commun. Math. Sci. 14 (2016), no. 3, 735-776.   PDF

  • A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics (with C. Hao). J. Differential Equations 261 (2016), no. 1, 712-737.   PDF

  • Global weak solution to the magnetohydrodynamic and Vlasov equations (with M. Chen and J. Hu). J. Math. Fluid Mech. 18 (2016), no. 2, 343-360.   PDF

  • Isometric immersion of surface with negative Gauss curvature and the Lax-Friedrichs scheme (with W. Cao and F. Huang). SIAM J. Math. Anal. 48 (2016), no. 3, 2227-2249.   PDF

  • Linear stability of compressible vortex sheets in two-dimensional elastodynamics (with M. Chen, J. Hu). Adv. Math. 311 (2017), 18-60.   PDF

  • Strong solutions to the compressible Navier-Stokes-Vlasov-Fokker-Planck equations: Global existence near the equilibrium and large time behavior (with F. Li and Y. Mu). SIAM J. Math. Anal. 49 (2017), no. 2, 984-1026.   PDF

  • Global existence and regularity of solutions for active liquid crystals (with G.-Q. Chen, A. Majumdar and R. Zhang). J. Differential Equations 263 (2017), no. 1, 202-239.   PDF

  • Fluids, elasticity, geometry, and the existence of wrinkled solutions (with A. Acharya, G.-Q. Chen, S. Li, M. Slemrod). Arch. Rational Mech. Anal. 226 (2017), no. 3, 1009-1060.   PDF

  • Isometric embedding via strongly symmetric positive systems (with Gui-Qiang Chen, Jeanne Clelland, Marshall Slemrod, and Deane Yang). Asian J. Math. 22 (2018), no. 1, 1-40.   PDF

  • Fluids, geometry, and the onset of Navier-Stokes turbulence in three space dimensions (with G.-Q. Chen, M. Slemrod). Physica D 376-377 (2018), 23-30.   PDF

  • Global weak solutions for the compressible active liquid crystal system (with G.-Q. Chen, A. Majumdar and R. Zhang). SIAM J. Math. Anal. 50 (2018), no. 4, 3632-3675.   PDF

  • Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle (with F. Huang, J. Kuang, W. Xiang). J. Differential Equations 266 (2019), 4337–4376.   PDF

  • Nonlinear stability and existence of vortex sheets for inviscid liquid-gas two-phase flow (with F. Huang, D. Yuan). Discrete Contin. Dyn. Syst. 39 (2019), no. 6, 3535-3575.   PDF

  • Initial boundary value problems for a system of parabolic conservation laws arising from chemotaxis in multi-dimensions (with L. Rebholz, Z. Wang, K. Zhao and C. Zerfas). Discrete Contin. Dyn. Syst. 39 (2019), no. 7, 3789-3838.   PDF

  • Well-posedness of nonisentropic Euler equations with physical vacuum (with Y. Geng, Y. Li, and R. Xu). Interfaces Free Bound. 21 (2019), no. 2, 231-266.   PDF

  • Linear stability of compressible vortex sheets in 2D elastodynamics: variable coefficients (with M. Chen, J. Hu). Math. Ann. 376 (2020), 863-912.   PDF

  • Energy equality in compressible fluids with physical boundaries (with M. Chen, Z. Liang, R. Xu). SIAM J. Math. Anal. 52 (2020), no. 2, 1363-1385.   PDF

  • Cauchy problem of a system of parabolic conservation laws arising from the singular Keller-Segel model in multi-dimensions (with Z. Wang and K. Zhao). To appear in Indiana Univ. Math. J.   PDF

  • Global regularity of the three-dimensional fractional micropolar equations (with J. Wu, Z. Ye). J. Math. Fluid Mech. 22 (2020), no. 2, 28.   PDF

  • Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations (with L. Li and Y. Wang). Commun. Math. Phys. 376 (2020), 353-384.   PDF

  • Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics (with M. Chen, J. Hu, T. Wang, D. Yuan}. J. Differential Equations. 269 (2020), no. 9, 6899–6940.   PDF

  • Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces (with C.-J. Liu, F. Xie, T. Yang). J. Functional Anal. J. Funct. Anal. 279 (2020), no. 7, 108637.   PDF

  • Global well-posedness and optimal large-time behavior of strong solutions to the non-isentropic particle-fluid flows (with Y. Mu). Calc. Var. Partial Differential Equations 59 (2020), no. 4, 110.   PDF

BACK TO RESEARCH PAGE