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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.
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- 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.
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- 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.
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- 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.
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- Global solutions to the three-dimensional full compressible
magnetohydrodynamic flows (with X. Hu).
Commun. Math. Phys. 283 (2008), no. 1, 255-284.
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- Compactness of weak solutions to compressible
magnetohydrodynamics equations with density-dependent viscosities
(with X. Hu). J. Differential Equations 245 (2008), no. 8, 2176-2198.
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- 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.
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- Low Mach number limit of viscous compressible magnetohydrodynamic flows (with X. Hu).
SIAM J. Math. Anal. 41 (2009), no. 3, 1272-1294.
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- 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.
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- 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.
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- 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.
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- 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.
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- 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.
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- Global solution to the three-dimensional incompressible flow of liquid crystals (with X. Hu).
Comm. Math. Phys. 296 (2010), no. 3, 861-880.
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- 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.
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- Local strong solution to the compressible viscoelastic flow with large data
(with X. Hu). J. Differential Equations 249 (2010), no. 5, 1179-1198.
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- Global existence for the multi-dimensional compressible viscoelastic flows (with X. Hu).
J. Differential Equations 250 (2011), no. 2, 1200-1231.
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- Global strong solution to the three-dimensional density-dependent incompressible
magnetohydrodynamic flows (with X. Li), J. Differential Equations 251 (2011), no. 6, 1580-1615.
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- 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.
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- 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.
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- Global weak solutions to the Euler-Boltzmann equations in radiation hydrodynamics (with P. Jiang),
Quart. Appl. Math. 70 (2012), 25-44.
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- Global solutions to the incompressible magnetohydrodynamic equations (with X. Li),
Commun. Pure Appl. Anal. 11 (2012), no. 2, 763-783.
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- 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.
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- Global solution to the incompressible flow of liquid crystals (with X. Li),
J. Differential Equations 252 (2012), 745-767.
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- Formation of singularity for compressible viscoelasticity (with X. Hu),
Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 1, 109-128.
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- 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.
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- Strong solutions to the three-dimensional compressible viscoelastic fluids
(with X. Hu). J. Differential Equation 252 (2012), 4027-4067.
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