Research
 
 Publications and Ongoing Projects:
  • Symmetric planar Chern-Simons-Higgs vortices, with D. Spirn, Comm. Math. Phys., to appear.  PDF

  • The Cauchy problem and the stability of solitary waves of a hiperelastic dispersive equationIndiana U. J. Math,  to appear.  PDF

  • Analysis of some nonlinear dispersive waves in a compressible hyperelastic plate, Thesis at Brown University.

  • Some nonlinear dispersive waves arising in compressible hyperelastic plates, International Journal of Engineering Science,  44 (2006) 1188-1204.  PDF

  • Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation, with V. Hur and Y. Liu, sumbitted.

  • Existence of ellectrically and magnetically charged vortices in the Chern-Simons-Higgs theory, with Y. Guo, D. Spirn and Y. Yang, in preparation.

  • Global well-posedness and blowup of the RMKP equation, with Y. Liu, in preparation.

  • A free boundary problem in gel-swelling, with C. Carme, in preparation.