Tightness for a stochastic allen–cahn equation

被引：0
|
作者：
Röger M. [1 ]
Weber H. [2 ]
机构：
[1] Faculty of Mathematics, Technische Universität Dortmund, Vogelpothsweg 87, Dortmund
[2] Mathematics Institute, University of Warwick, Coventry
来源：
Stochastic Partial Differential Equations: Analysis and Computations | 2013年 / 1卷 / 1期
关键词：
Cahn equation; Sharp interface limit; Stochastic Allen; Stochastic mean curvature flow;
D O I：
10.1007/s40072-013-0004-4
中图分类号：
学科分类号：
摘要：
We study an Allen–Cahn equation perturbed by a multiplicative stochastic noise that is white in time and correlated in space. Formally this equation approximates a stochastically forced mean curvature flow. We derive a uniform bound for the diffuse surface area, prove the tightness of solutions in the sharp interface limit, and show the convergence to phase-indicator functions. © Springer Science+Business Media New York 2013.
引用
收藏
页码：175 / 203
页数：28
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