Recent Publications and Preprints:
Finite time singularity of the nematic liquid crystal flow in dimension three, arXiv:1504.01080 (with Fanghua Lin, Chun Liu, Changyou Wang).
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Structurally Stable Singularities for a Nonlinear Wave Equation, arXiv:1503.08807 (with Alberto Bressan, Fang Yu).
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On uniqueness of heat flow of harmonic maps. Indiana University Mathematics Journal, accepted, 2015.
(with Changyou Wang). pdf file
Regularity and uniqueness for a class of solutions to the hydrodynamic flow of nematic liquid crystals. Analysis and Applications, accepted, 2014.
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Representation of Dissipative Solutions to a Nonlinear Variational Wave Equation.
Communications in Mathematical Sciences, accepted, 2014,
(with Alberto Bressan). pdf file
Finite time singularities for hyperbolic systems.
SIAM Journal on Mathematical Analysis, 47(1), 758785, 2015,
(with Geng Chen, Chun Liu).
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Regularity and uniqueness of the heat
flow of biharmonic maps.
CVPDE, 50 (34), 491524, 2014.
(with Jay Hineman, Changyou Wang). pdf file
Blow up criterion for nematic liquid crystal flows.
Communications in Partial Differential Equations, 37, 875884, 2012,
(with Changyou Wang). pdf file
Blow up criterion for compressible nematic liquid crystal flows in
dimension three.
Archive for Rational Mechanics and Analysis, 204(1), 285311, 2012,
(with Changyou Wang, Huanyao Wen). pdf file
Strong solutions of the compressible nematic liquid crystal flow.
Journal of Differential Equations, 252, 22222265, 2012,
(with Changyou Wang, Huanyao Wen). pdf file
On the heat flow of equation of surfaces of constant mean curvature.
Manuscripta Mathematica, 134(12), 259271, 2011,
(with Zhong Tan, Changyou Wang). pdf file
Notes on the regularity of harmonic map systems.
Proceedings of the American Mathematical Society, 138(6), 20152023, 2010,
(with Changyou Wang). pdf file
