Tightness for a stochastic Allen–Cahn equation
نویسندگان
چکیده
منابع مشابه
Tightness for a Stochastic Allen–cahn Equation
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.
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ژورنال
عنوان ژورنال: Stochastic Partial Differential Equations: Analysis and Computations
سال: 2013
ISSN: 2194-0401,2194-041X
DOI: 10.1007/s40072-013-0004-4