Authors: Röger, Matthias
Weber, Hendrik
Title: Tightness for a stochastic Allen-Cahn equation
Language (ISO): en
Abstract: 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.
URI: http://hdl.handle.net/2003/27416
http://dx.doi.org/10.17877/DE290R-15653
Issue Date: 2010-10-08
Appears in Collections:Preprints der Fakultät für Mathematik

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