# Asymptotically autonomous robustness in probability of random attractors for stochastic Navier-Stokes equations on unbounded Poincar\'e domains

@inproceedings{Wang2022AsymptoticallyAR, title={Asymptotically autonomous robustness in probability of random attractors for stochastic Navier-Stokes equations on unbounded Poincar\'e domains}, author={Renhai Wang and K. L. Kinra and Manil T. Mohan}, year={2022} }

. The asymptotically autonomous robustness of random attractors of stochastic ﬂuid equations deﬁned on bounded domains has been considered in the literature. In this article, we initially consider this topic (almost surely and in probability) for a non-autonomous stochastic 2D Navier-Stokes equation driven by additive and multiplicative noise deﬁned on some unbounded Poincar´e domains . There are two signiﬁcant keys to study this topic: what is the asymptotically autonomous limiting set of the…

## One Citation

### Bi-spatial random attractor, ergodicity and a random Liouville type theorem for stochastic Navier-Stokes equations on the whole space

- Mathematics
- 2022

. This article concerns the random dynamics and asymptotic analysis of the well known mathematical model, the Navier-Stokes equations. We consider the two-dimensional stochastic Navier-Stokes…

## References

SHOWING 1-10 OF 70 REFERENCES

### Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains

- MathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
- 2021

This paper is concerned with the asymptotic behaviour of solutions to a class of non-autonomous stochastic nonlinear wave equations with dispersive and viscosity dissipative terms driven by…

### Asymptotically autonomous dynamics for non-autonomous stochastic $ g $-Navier-Stokes equation with additive noise

- MathematicsDiscrete and Continuous Dynamical Systems - B
- 2022

<p style='text-indent:20px;'>Both sufficient and necessary criteria for the existence of a bi-parametric attractor which attaches with forward compactness is established. Meanwhile, we prove that,…

### Asymptotic Autonomy of Random Attractors in Regular Spaces for Non-autonomous Stochastic Navier-Stokes Equations

- Mathematics
- 2022

. This article concerns the long-term random dynamics in regular spaces for a non-autonomous Navier-Stokes equation deﬁned on a bounded smooth domain O driven by multiplicative and additive noise.…

### Periodic Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Domains

- Mathematics
- 2012

This paper is concerned with the asymptotic behavior of solutions of the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded…

### Asymptotically autonomous dynamics for non-autonomous stochastic 2D g-Navier–Stokes equation in regular spaces

- MathematicsJournal of Mathematical Physics
- 2022

This work is a continuation of our previous work [Li et al., Commun. Pure Appl. Anal. 19, 3137 (2020)] on the regular backward compact random attractor. We prove that under certain conditions, the…

### Finite fractal dimension of pullback attractors for non-autonomous 2D Navier–Stokes equations in some unbounded domains

- Mathematics
- 2006

### ASYMPTOTIC AUTONOMY OF RANDOM ATTRACTORS FOR BBM EQUATIONS WITH LAPLACE-MULTIPLIER NOISE

- Mathematics
- 2020

We study asymptotic autonomy of random attractors for possibly non-autonomous Benjamin-Bona-Mahony equations perturbed by Laplacemultiplier noise. We assume that the time-indexed force converges to…

### Sufficient and Necessary Criteria for Existence of Pullback Attractors for Non-compact Random Dynamical Systems

- Mathematics
- 2012

### Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains

- Mathematics
- 2011

### Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains

- Mathematics
- 2006

We introduce a notion of an asymptotically compact (AC) random dynamical system (RDS). We prove that for an AC RDS the Ω-limit set Ω B (ω) of any bounded set B is nonempty, compact, strictly…