scholarly journals Particle Filtering for Stochastic Navier--Stokes Signal Observed with Linear Additive Noise

2018 ◽  
Vol 40 (3) ◽  
pp. A1544-A1565 ◽  
Author(s):  
Francesc Pons Llopis ◽  
Nikolas Kantas ◽  
Alexandros Beskos ◽  
Ajay Jasra
2018 ◽  
Vol 2018 ◽  
pp. 1-14
Author(s):  
Xiaoyao Jia ◽  
Xiaoquan Ding

In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained. We first transform the stochastic equation into a random equation and then obtain the existence of a random attractor for random equation. Then conjugation relation between two random dynamical systems implies the existence of a random attractor for the stochastic equation. At last, we get the upper semicontinuity of random attractor.


2001 ◽  
Vol 49 (4) ◽  
pp. 579-582 ◽  
Author(s):  
E. Punskaya ◽  
C. Andrieu ◽  
A. Doucet ◽  
W.J. Fitzgerald

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