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math.PR2024
Existence and regularity of random attractors for stochastic evolution equations driven by rough noise
Alexandra Neamtu, Tim Seitz
This work establishes the existence and regularity of random pullback attractors for parabolic partial differential equations with rough nonlinear multiplicative noise under natura…
math.PR2023
Finite-time Lyapunov exponents for SPDEs with fractional noise
Alexandra Blessing, Dirk Blömker
We estimate the finite-time Lyapunov exponents for a stochastic partial differential equation driven by a fractional Brownian motion (fbm) with Hurst index close to a b…