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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
Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise
Xiaofang Lin, Alexandra Neamtu, Caibin Zeng
Little seems to be known about the invariant manifolds for stochastic partial differential equations (SPDEs) driven by nonlinear multiplicative noise. Here we contribute to this as…
math.PR2022★ 1 cited
Quasilinear rough evolution equations
Antoine Hocquet, Alexandra Neamţu
We investigate the abstract Cauchy problem for a quasilinear parabolic equation in a Banach space of the form \( du_t -L_t(u_t)u_t dt = N_t(u_t)dt + F(u_t)\cdot d\mathbf X_t \), wh…