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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.
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- 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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- 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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- Global solution to the incompressible flow of liquid crystals (with X. Li),
J. Differential Equations 252 (2012), 745-767.
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- Global weak solution and large-time behavior for the compressible flow of liquid crystals (with C. Yu).
To appear in Arch. Rational Mech. Anal.
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- Strong solutions to the three-dimensional compressible viscoelastic fluids
(with X. Hu). To appear in J. Differential Equations.
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- Weak stability and large time behavior for the Cauchy problem of the
Vlasov-Maxwell-Boltzmann equations (with X. Hu), preprint.
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- The initial-boundary value problem for the compressible viscoelastic fluids
(with X. Hu), preprint.
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- Incompressible magnetohydrodynamic limit of the Vlasov-Maxwell-Boltzmann equations
(with X. Hu), preprint.
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- Incompressible limit for the compressible flow of liquid crystals (with C. Yu), preprint.
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- Formation of singularity for compressible viscoelasticity (with X. Hu), preprint.
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