Publications and Ongoing Projects:
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Symmetric
planar Chern-Simons-Higgs vortices, with D. Spirn, Comm. Math. Phys., to appear. PDF
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The
Cauchy problem and the stability of solitary waves of a hiperelastic
dispersive equation, Indiana U. J. Math, to
appear. PDF
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Analysis of some nonlinear dispersive waves in a compressible hyperelastic plate,
Thesis at Brown University.
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Some nonlinear dispersive waves arising in
compressible hyperelastic plates, International Journal of Engineering
Science,
44 (2006) 1188-1204. PDF
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Solitary
waves of the rotation-modified Kadomtsev-Petviashvili equation, with V. Hur and Y. Liu,
sumbitted.
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Existence of
ellectrically and magnetically charged vortices
in the Chern-Simons-Higgs theory, with Y. Guo, D. Spirn and Y.
Yang, in preparation.
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Global well-posedness and blowup of the
RMKP equation, with Y. Liu, in preparation.
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A free boundary problem in
gel-swelling, with C. Carme, in preparation.
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