Research Page
Pattern Formation Problems Coupling Bulk Diffusion and Dynamically Active
Boundaries
description to be written; pictures and movies
- Synchronized Oscillatory Dynamics
for a 1-D Model of Membrane Kinetics Coupled by Linear Bulk Diffusion
with Jia Gou, Yue-Xian Li, and Wayne Nagata,
(SIAM J. Appl. Dyn. Sys., Vol. 14 No. 4, (2015), pp. 2096-2137).
- Oscillatory Dynamics for
a Coupled Membrane-Bulk Diffusion Model with Fitzhugh-Nagumo Kinetics
with Jia Gou, (SIAM J. Appl. Math., Vol. 76, No. 2, (2016),
pp. 776-804).
- Asymptotic Analysis of a 2-D Model
of Dynamicaly Active Compartments Coupled by Bulk Diffusion
with Jia Gou (J. Nonlinear Science,
Vol. 26, No. 4, (2016), pp. 979-1029).
- A Theory of Synchrony by
Coupling Through a Diffusive Chemical Signal
with Jia Gou, Wei-Yin Chiang, Pik-Yin Lai, and Yue-Xian Li,
(Physica D, Vol. 339 (2017), pp. 1-17).
- Pattern Formation and Oscillatory
Dynamics in a 2-D Coupled Bulk-Surface Reaction-Diffusion Model
with Frederic Paquin-Lefebrve and Wayne Nagata (SIAM
J. Appl. Dyn. Sys., Vol. 18, No. 3, (2019), pp. 1334-1390.)
- The Linear Stability of Symmetric
Spike Patterns for a Bulk-Membrane Coupled Gierer-Meinhardt Model
with Daniel Gomez and Juncheng Wei (SIAM J. Appl. Dyn. Sys.,
Vol. 18, No. 2, (2019), pp. 729--768.)