Lp-solutions for stochastic Navier–Stokes equations with jump noise

Jiahui Zhu, Zdzisław Brzeźniak and Wei Liu

Statistics & Probability Letters, 2019, vol. 155, issue C, -

Abstract: We study the existence and uniqueness of solutions of 2D Stochastic Navier–Stokes equation with space irregular jump noise for initial data in certain Sobolev spaces of negative order. Comparing with the Galerkin approximation method, the main advantage of this work is to use an Lp-setting to obtain the solution under much weaker assumptions on the noise and the initial condition.

Keywords: Stochastic Navier–Stokes equation; Poisson random measure; Lp-theory (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spl.2019.108563

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