5 citations · 15 across the 12 of their papers we have counts for
12 papers
On the approximation of finite-time Lyapunov exponents for the stochastic Burgers equation
Alexandra Blessing, Dirk Blömker
We analyze stochastic partial differential equations (SPDEs) with quadratic nonlinearities close to a change of stability. To this aim we compute finite-time Lyapunov exponents (FT…
Effective dynamics of interfaces for nonlinear SPDEs driven by multiplicative white noise
Shenglan Yuan, Dirk Blömker
In the present work, we investigate the dynamics of the infinite-dimensional stochastic partial differential equation (SPDE) with multiplicative white noise. We derive the effectiv…
Singular limits for stochastic equations
Dirk Blömker, Jonas M. Tölle
We study singular limits of stochastic evolution equations in the interplay of disappearing strength of the noise and insufficient regularity, where the equation in the limit with…
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…