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 |
Files in This Item:
File | Description | Size | Format | |
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mathematicalPreprint-2010-09.pdf | 579.08 kB | Adobe PDF | View/Open |
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