5 citations · 6 across the 6 of their papers we have counts for
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Amplitude equations for SPDEs driven by fractional additive noise with small Hurst parameter
Dirk Blömker, Alexandra Neamtu
We study stochastic partial differential equations (SPDEs) with potentially very rough fractional noise with Hurst parameter . Close to a change of stability measured wi…
Stochastic turbulence for Burgers equation driven by cylindrical Lévy process
Shenglan Yuan, Dirk Blömker, Jinqiao Duan
This work is devoted to investigating stochastic turbulence for the fluid flow in one-dimensional viscous Burgers equation perturbed by Lévy space-time white noise with the periodi…
Kink motion for the one-dimensional stochastic Allen-Cahn equation
Alexander Schindler, Dirk Blömker
We study the kink motion for the one-dimensional stochastic Allen-Cahn equation and its mass conserving counterpart. Using a deterministic slow manifold, in the sharp interface lim…
The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation
Luigi Amedeo Bianchi, Dirk Blömker
We consider the impact of additive Gaussian white noise on a supercritical pitchfork bifurcation in an unbounded domain. As an example we focus on the stochastic Swift-Hohenberg eq…
Multiscale Analysis for SPDEs with Quadratic Nonlinearities
D. Blömker, G. A. Pavliotis, M. Hairer
In this article we derive rigorously amplitude equations for stochastic PDEs with quadratic nonlinearities, under the assumption that the noise acts only on the stable modes and fo…