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math-ph2004★ 38 cited
Modulation Equations: Stochastic Bifurcation in Large Domains
D. Blömker, M. Hairer, G. A. Pavliotis
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 b…
math-ph2002
Stationary solutions for a model of amorphous thin-film growth
Dirk Blömker, Martin Hairer
We consider a class of stochastic partial differential equations arising as a model for amorphous thin film growth. Using a spectral Galerkin method, we verify the existence of sta…