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math.DS2019★ 1 cited
The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations
Hongbo Fu, Dirk Blömker
This article deals with the approximation of a stochastic partial differential equation (SPDE) via amplitude equations. We consider an SPDE with a cubic nonlinearity perturbed by a…
math.DS2019
Stochastic Cahn-Hilliard equation in higher space dimensions: The motion of bubbles
Alexander Schindler, Dirk Blömker
We study the stochastic motion of a droplet in a stochastic Cahn-Hilliard equation in the sharp interface limit for sufficiently small noise. The key ingredient in the proof is a d…
math.DS2008
Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity
Dirk Blomker, Wei Wang
The qualitative properties of local random invariant manifolds for stochastic partial differential equations with quadratic nonlinearities and multiplicative noise is studied by a…