13 citations · 24 across the 11 of their papers we have counts for
7 papers · 1 filter
On 3D Navier-Stokes equations: regularization and uniqueness by delays
Hakima Bessaih, María J. Garrido-Atienza, Björn Schmalfuss
A modified version of the three dimensional Navier-Stokes equations is considered with periodic boundary conditions. A bounded constant delay is introduced into the convective term…
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/…
Stochastic lattice dynamical systems with fractional noise
Hakima Bessaih, María J. Garrido-Atienza, Xiaoying Han +1
This article is devoted to study stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter . First of all, we investigate the ex…
Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters
María J. Garrido-Atienza, Kening Lu, Björn Schmalfuss
In this article we are concerned with the study of the existence and uniqueness of pathwise mild solutions to evolutions equations driven by a Hölder continuous function with Hölde…
Stochastic Shell Models driven by a multiplicative fractional Brownian--motion
Hakima Bessaih, María J. Garrido-Atienza, Björn Schmalfuss
We prove existence and uniqueness of the solution of a stochastic shell--model. The equation is driven by an infinite dimensional fractional Brownian--motion with Hurst--parameter…
Random attractors for stochastic evolution equations driven by fractional Brownian motion
H. Gao, M. J. Garrido-Atienza, B. Schmalfuss
The main goal of this article is to prove the existence of a random attractor for a stochastic evolution equation driven by a fractional Brownian motion with . We wou…
Pathwise solutions to stochastic partial differential equations driven by fractional Brownian motions with Hurst parameters in
María J. Garrido-Atienza, Kening Lu, Björn Schmalfuss
Combining fractional calculus and the Rough Path Theory we study the existence and uniqueness of mild solutions to evolutions equations driven by a Hölder continuous function with…