422 citations · 2.4k across the 156 of their papers we have counts for
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Synchronization by noise for traveling pulses
Christian Kuehn, Joris van Winden
We consider synchronization by noise for stochastic partial differential equations which support traveling pulse solutions, such as the FitzHugh-Nagumo equation. We show that any t…
Warning Signs for Boundary Noise and their Application to an Ocean Boussinesq Model
Paolo Bernuzzi, Henk A. Dijkstra, Christian Kuehn
In this paper, we construct and discuss early-warning signs of the approach of a parameter to a deterministic bifurcation on a stochastic partial differential equation (SPDE) model…
Early-Warning Signs for SPDEs with Continuous Spectrum
Paolo Bernuzzi, Antonia Düx, Christian Kühn
In this work, we study early-warning signs for stochastic partial differential equations (SPDEs), where the linearization around a steady state has continuous spectrum. The studied…
Center Manifolds for Rough Partial Differential Equations
Christian Kuehn, Alexandra Neamtu
We prove a center manifold theorem for rough partial differential equations (rough PDEs). The class of rough PDEs we consider contains as a key subclass reaction-diffusion equation…
Random attractors via pathwise mild solutions for stochastic parabolic evolution equations
Christian Kuehn, Alexandra Neamtu, Stefanie Sonner
We investigate the longtime behavior of stochastic partial differential equations (SPDEs) with differential operators that depend on time and the underlying probability space. In p…
Travelling waves for discrete stochastic bistable equations
Carina Geldhauser, Christian Kuehn
Many physical, chemical and biological systems have an inherent discrete spatial structure that strongly influences their dynamical behaviour. Similar remarks apply to internal or…