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

Jiahui Zhu, Zdzislaw Brzezniak, Wei Liu

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number108563
Number of pages9
JournalStatistics and Probability Letters
Early online date1 Aug 2019
Publication statusPublished - 1 Dec 2019


  • L-theory
  • Poisson random measure
  • Stochastic Navier–Stokes equation

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