Strong solutions for the stochastic Navier-Stokes equations on the 2D rotating sphere with stable Levy noise

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:489

Article

Dong, Leanne¹ 

[1] Concordia Univ Montreal, Gina Cody Sch Engn & Comp Sci, Montreal, PQ, Canada

关键词: Stochastic Navier-Stokes equations;    Unit sphere;    Strong solution;    Stable Levy noise;   

DOI  :  10.1016/j.jmaa.2020.124182

来源: Elsevier

【 摘 要 】

The Navier-Stokes equation with rough data arises in many problems of fluid dynamics but mathematical analysis of such problems is notoriously difficult. In this paper we consider a two-dimensional fluid moving on the surface of a rotating sphere under the influence of an impulsive force that is very irregular in time. More precisely, we assume that the impulsive force is associated to a Brownian Motion subordinated by a stable subordinator. Then 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 a stable Levy noise. This strong solution turns out to exist globally in time. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free