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

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.

This paper forms partial result of the author's PhD thesis. More errors, typos and grammatical flaws removed from the last submission