5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.PR2020★ 1 cited
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…
math.PR2006★ 5 cited
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…
math.CA2006
Predictability of the Burgers dynamics under model uncertainty
Dirk Blömker, Jinqiao Duan
Complex systems may be subject to various uncertainties. A great effort has been concentrated on predicting the dynamics under uncertainty in initial conditions. In the present wor…