13 citations · 24 across the 11 of their papers we have counts for
8 papers · 1 filter
Longtime behavior for 3D Navier-Stokes equations with constant delays
Hakima Bessaih, María J. Garrido-Atienza
This paper investigates the longtime behavior of delayed 3D Navier-Stokes equations in terms of attractors. The study will strongly rely on the investigation of the linearized Navi…
Setvalued dynamical systems for stochastic evolution equations driven by fractional noise
M. J. Garrido-Atienza, B. Schmalfuss, J. Valero
We consider Hilbert-valued evolution equations driven by Hölder paths with Hölder index greater than 1/2, which includes the case of fractional noises with Hurst parameters in (1/2…
Corrigendum to the chapter "Some aspects concerning the dynamics of stochastic chemostats"
Tomás Caraballo, María J. Garrido-Atienza, Javier López-de-la-Cruz +1
In this paper we correct an error made in a previous work, where a misleading stochastic system was obtained due to a lapse concerning a sign in one of the equations at the beginni…
Asymptotical stability of differential equations driven by Hölder--continuous paths
María J. Garrido-Atienza, Andreas Neuenkirch, Björn Schmalfuß
In this manuscript, we establish asymptotic local exponential stability of the trivial solution of differential equations driven by Hölder--continuous paths with Hölder exponent gr…
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters
María J. Garrido-Atienza, Björn Schmalfuss, Kening Lu
We consider the stochastic evolution equation in a separable Hilbert--space . Here is supposed to be three times Fréchet--differentiable an…
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces
María J. Garrido-Atienza, Kening Lu, Björn Schmalfuss
In this paper we investigate the existence and some useful properties of the Lévy areas of Ornstein-Uhlenbeck processes associated to Hilbert-space-valued fractional Brownian-motio…
Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than 1/2 and random dynamical systems
Y. Chen, H. Gao, M. J. Garrido-Atienza +1
This article is devoted to the existence and uniqueness of pathwise solutions to stochastic evolution equations, driven by a Hölder continuous function with Hölder exponent in $(1/…
Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients
Hakima Bessaih, María J. Garrido-Atienza, Björn Schmalfuss
In this paper we study the longtime dynamics of mild solutions to retarded stochastic evolution systems driven by a Hilbert-valued Brownian motion. As a preparation for this purpos…