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math.PR2021
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…
math.PR2021
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…
math.PR2021
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…