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math.PR2018
Invariant measures for the Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
Building upon the well-posedness results in \cite{snse1}, in this note we prove the existence of invariant measures for the stochastic Navier-Stokes equations with stable Lévy nois…
math.PR2018
Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
Leanne Dong
In this paper we prove that the stochastic Navier-Stokes equations with stable Lévy noise generates a random dynamical systems. Then we prove the existence of random attractor for…
math.AP2018★ 1 cited
Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise: existence and uniqueness of weak and strong solutions
Leanne Dong
In this paper we prove the existence and uniqueness of a strong solution (in PDE sense) to the stochastic Navier-Stokes equations on the rotating 2-dimensional unit sphere perturbe…