Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise: existence and uniqueness of weak and strong solutions

2018/11/17 by Dong, Leanne
#35R60 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.07885

Abstract

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 perturbed by stable Lévy noise. This strong solution turns out to exist globally in time.

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