Some recent papers:

  • There are asymmetric global minimizers for the one-dimensional Ginzburg-Landau model of superconductivity (with W. Troy), SIAM J. Math Anal. Siam J. Math. Analysis vol 30 (1999), 1-18.
  • Wave solutions for a discrete reaction-diffusion equation (with A. Carpio, J. Chapman, and J. B. McLeod) , Euro. J. Applied Math
  • Chaos in the Lorenz equations (with W. Troy), J. Diff. Eqns vol 127 (1996), 41-53.
  • On the global bifurcation diagram for the one-dimensional Ginzburg-Landau model of superconductivity, (with E. N. Dancer), Eur. J. Applied Math vol 11 (2000), 271-291.
  • Another look at recent results concerning bifurcation in one-dimensional models of superconductivity, Eur. J. Appld. Math vol 11 (2000), 121-128.
  • Boundary value problems for the Fanno model of turbulent flow, (with J. B. Mcleod and W. Troy), Euro J. Appld. Math, 2001.
  • A shooting approach to layers and chaos in the Duffing equation (with S. Ai), Journal of Differential Equations, to appear.
  • Layers and spikes in a non-homogeneous reaction-diffusion equation (with S. Ai and X. Chen), preprint.