RANDOM ATTRACTORS FOR STOCHASTIC NAVIER-STOKES EQUATION ON A 2D ROTATING SPHERE WITH STABLE LEVY NOISE

被引：1
|
作者：
Dong, Leanne [1 ]
机构：
[1] Gina Cody Sch Engn & Comp Sci, 1455 De Maisonneuve Blvd, Montreal, PQ H3G 1M8, Canada
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 10期
关键词：
stochastic Navier-Stokes; unit spheres; Feller Markov invariant measure; Subject Classification; Primary; Random attractors; random dynamical systems; stable Levy noise;
D O I：
10.3934/dcdsb.2020352
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove that the stochastic Navier-Stokes equations with stable Levy noise generate a random dynamical systems. Then we prove the existence of random attractor for the Navier-Stokes equations on 2D spheres under stable Levy noise (finite dimensional). We also deduce the existence of a Feller Markov Invariant Measure.
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页码：5421 / 5448
页数：28
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