Numerical Analysis Seminars: Spikes for Reaction-Diffusion Systems with Convection
16 March 2012 14:00 in CG83
We first present results on the existence and stability of multiple spikes in the case of the Gierer-Meinhardt system in one and two space dimensions. Then we incorporate convection into a reaction-diffusion system of Schnakenberg type and study the effect which the convection has on a single spike solution. We show that the spike is shifted away from the centre of the domain, where the details of the shift depend on the boundary conditions and the rate of convection. We prove that this shifted one-spike solution is stable.
Analytical results will be complemented by numerical computations. Biological applications will be outlined. This is joint work with Juncheng Wei.
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