| Contents |
| Reaction-diffusion systems on domains evolving in time can be
studied by transforming the original system into a
reaction-diffusion system on a fixed domain with time-dependent
diffusion coefficients and non-autonomous reaction terms. If the
original system satisfies no flux boundary conditions, a spatially
homogeneous solution can be stable in the absence of diffusion (as a
solution of the resulting system of ordinary differential
equations), but unstable in the presence of diffusion. I will
present conditions for this type of diffusion-driven instability
based on results of joint work with A. Madzvamuse and Wenxian Shen
and discuss work in progress. |
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