1 citations · 2 across the 4 of their papers we have counts for
7 papers
Rough Path Theory to approximate Random Dynamical Systems
Hongjun Gao, María J. Garrido-Atienza, Anhui Gu +2
We consider the rough differential equation $dY=f(Y)d\bm \om$ where $\bm \om=(ω,\bbomega)$ is a rough path defined by a Brownian motion on $\RR^m$. Under the usual regularity a…
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…
Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in
Luu Hoang Duc, María J. Garrido-Atienza, Andreas Neuenkirch +1
This paper addresses the exponential stability of the trivial solution of some types of evolution equations driven by Hölder continuous functions with Hölder index greater than $1/…
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…