422 citations · 2.4k across the 156 of their papers we have counts for
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Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method
Gaurav Dhariwal, Florian Huber, Ansgar Jüngel +2
The existence of global-in-time bounded martingale solutions to a general class of cross-diffusion systems with multiplicative Stratonovich noise is proved. The equations describe…
Dynamics of Stochastic Reaction-Diffusion Equations
Christian Kuehn, Alexandra Neamtu
Stochastic partial differential equations (SPDEs) represent a very active research field with numerous recent developments and breakthrough results. There are several well-establis…
Random Attractors for Stochastic Partly Dissipative Systems
Christian Kuehn, Alexandra Neamtu, Anne Pein
We prove the existence of a global random attractor for a certain class of stochastic partly dissipative systems. These systems consist of a partial (PDE) and an ordinary different…
Sample Paths Estimates for Stochastic Fast-Slow Systems driven by Fractional Brownian Motion
Katharina Eichinger, Christian Kuehn, Alexandra Neamtu
We analyze the effect of additive fractional noise with Hurst parameter on fast-slow systems. Our strategy is based on sample paths estimates, similar to the appr…