Modulation Equations: Stochastic Bifurcation in Large Domains
数学物理
2009-11-10 v1 math.MP
摘要
We consider the stochastic Swift-Hohenberg equation on a large domain near its change of stability. We show that, under the appropriate scaling, its solutions can be approximated by a periodic wave, which is modulated by the solutions to a stochastic Ginzburg-Landau equation. We then proceed to show that this approximation also extends to the invariant measures of these equations.
引用
@article{arxiv.math-ph/0408016,
title = {Modulation Equations: Stochastic Bifurcation in Large Domains},
author = {D. Blömker and M. Hairer and G. A. Pavliotis},
journal= {arXiv preprint arXiv:math-ph/0408016},
year = {2009}
}