二维反应扩散系统的图灵斑图：电场的影响
Turing Patterns in two dimensional reaction-diffusion system: effect of an electric field
摘要：
我们考虑了一个具有两个相互作用扩散粒子的二维类图灵系统。考虑到要带电的物质，我们包括沿给定方向的电场的效应，该效应可导致A.B.Rovinsky和M.Menzinger \cite{9}发现的漂移诱导不稳定性。这使得人们可以研究扩散和漂移之间的竞争，如Riaz等人所做的数值计算。我们在这里表明，可以找到一个分析公式的基础上的线性稳定性分析，结合了所有的影响，是已知的系统，也允许一些详细的预测。
英文摘要：
We consider a two dimensional Turing like system with two diffusing species which interact with each other. Considering the species to be charged, we include the effect of an electric field along a given direction which can lead to a drift induced instability found by A.B.Rovinsky and M.Menzinger\cite{9}. This allows one to study the competition between diffusion and drift as was done numerically by Riaz et al. We show here that an analytic formula can be found on the basis of a linear stability analysis that incorporates all the effects that are known for the system and also allows for some detailed predictions.
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