Spike Dynamics for Reaction-Diffusion Systems in One-Dimension

description to be written; pictures and movies

• The Dynamics of Multi-Spike Solutions for the One-Dimensional Gierer-Meinhardt Model
  with D. Iron (SIAM J. Appl. Math., Vol. 62, No. 6, (2002), pp. 1924-1951.)

• Numerical Challenges for Resolving Spike Dynamics for Two Reaction-Diffusion Systems
  with W. Sun, T. Tang, and J. Wei (Studies in Appl. Math., Vol. 111, No. 1, (2003), pp. 41-84.)

• The Slow Dynamics of Two-Spike Solutions for the Gray-Scott and Gierer-Meinhardt Systems: Competition and Oscillatory Instabilities
  with W. Sun and R. Russell (SIAM J. Appl. Dyn. Systems., Vol. 4, No. 4, (2005), pp. 904-953.)

• Oscillatory Instabilities of Multi-Spike Patterns for the One-Dimensional Gray-Scott Model
  with W. Chen (European J. Appl. Math., Vol. 20, No. 2, (2009), pp. 187-214).

• The Dynamics and Stability of Spike-Type Solutions to the Gierer-Meinhardt Model with Subdiffusion
  with Y. Nec (submitted, Physica D, (2011), 32 pages).