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arXiv · 1811.07885

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

Leanne Dong
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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 L\'evy noise. This strong solution turns out to exist globally in time.

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Leanne Dong. 2018-11-17. Stochastic Navier-Stokes equation on a 2D rotating sphere with stable L\'evy noise: existence and uniqueness of weak and strong solutions. https://arxiv.org/abs/1811.07885

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