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Publications:
The
Holder continuity of the solution map to the b-family equation
in weak topology, with Y. Liu and P.-Z. Zhang, submitted. PDF
Stability
of the mu-Camassa-Holm peakons, with J. Lenells and Y. Liu,
submitted. PDF
Stability
of solitary waves of a generalized two-component Camassa-Holm
system, with Y.
Liu and Z. Qiao, to appear in Comm. Partial Differential
Equations.
PDF
Asymptotic
behavior and symmetry of condensate solutions in electroweak
theory, with
Y.-J. Guo and D. Spirn, to appear in J. Anal. Math.
PDF
Local
regularity and decay estimates of solitary waves for the RMKP
equation, with
Y. Liu and P.-Z. Zhang, to appear in Trans.
Amer. Math. Soc.
PDF
Wave-breaking
and global existence for a generalized two-component Camassa-Holm
system, with Y.
Liu, to appear in Int.
Math. Res. Not. PDF
Electrically
and magnetically charged vortices
in the Chern-Simons-Higgs theory, with
Y.-J. Guo, D. Spirn and Y. Yang, Proc.
R. Soc. Lond. Ser. A 465
(2009) 3489-3516. PDF
Symmetric
planar Chern-Simons-Higgs vortices,
with D. Spirn, Comm.
Math. Phys.,
285
(2009) 1005-1031. PDF
Solitary
waves of the rotation-modified Kadomtsev-Petviashvili equation,
with V. Hur and Y. Liu, Nonlinearity,
21
(2008) 2949-2979. PDF
The
Cauchy problem and the stability of solitary waves of a
hyperelastic dispersive equation,
Indiana U. J.
Math, 57
(2008) 2377-2422. PDF
Some
nonlinear dispersive waves arising in compressible hyperelastic
plates,
International
Journal of Engineering Science, 44
(2006) 1188-1204. PDF
Analysis of
some nonlinear dispersive waves in a compressible hyperelastic
plate, Thesis
at Brown University.
Ongoing
Projects:
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