19 citations · 61 across the 20 of their papers we have counts for
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Well-posedness and Hurst parameter estimation for fluid equations driven by fractional transport noise
Alexandra Blessing Neamtu, Dan Crisan, Oana Lang
We study a two-dimensional incompressible vorticity equation on the torus driven by transport-type fractional Brownian noise with Hurst parameter . The model capture…
A mild rough Gronwall Lemma with applications to non-autonomous evolution equations
Alexandra Blessing, Mazyar Ghani Varzaneh, Tim Seitz
We derive a Gronwall type inequality for mild solutions of non-autonomous parabolic rough partial differential equations (RPDEs). This inequality together with an analysis of the C…
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…
Bifurcation theory for SPDEs: finite-time Lyapunov exponents and amplitude equations
Dirk Blömker, Alexandra Neamtu
We consider a stochastic partial differential equation close to bifurcation of pitchfork type, where a one-dimensional space changes its stability. For finite-time Lyapunov exponen…
Stochastic evolution equations with rough boundary noise
Alexandra Neamtu, Tim Seitz
We investigate the pathwise well-posedness of stochastic evolution equations perturbed by multiplicative Neumann boundary noise, such as fractional Brownian motion for $H\in(1/3,1/…
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…