Singular limit for stochastic reaction-diffusion equation and generation of random interfaces
Singular limit for stochastic reaction-diffusion equation and generation of random interfaces
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DOI：
10.1007/bf02650735
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发表时间：
1999-07
期刊：
影响因子：
--
通讯作者：
T. Funaki
中科院分区：
文献类型：
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作者：
T. Funaki
研究了在有界域上具有加性噪声的反应扩散方程的奇异极限。溶液收敛于由反应项确定的两个稳定相{+1，−1}之一；相应的，在极限处生成相分离曲线。我们将为相分离曲线的动力学推导出一个随机摄动的曲率运动。
Singular limit is investigated for reaction-diffusion equations with an additive noise in a bounded domain of ℝ2. The solution converges to one of the two stable phases {+1, −1} determined from the reaction term; accordingly a phase separation curve is generated in the limit. We shall derive a randomly perturbed motion by curvature for the dynamics of the phase separation curve.