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

Author

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  • Zhu, Jiahui
  • Brzeźniak, Zdzisław
  • Liu, Wei

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.

Suggested Citation

  • Zhu, Jiahui & Brzeźniak, Zdzisław & Liu, Wei, 2019. "Lp-solutions for stochastic Navier–Stokes equations with jump noise," Statistics & Probability Letters, Elsevier, vol. 155(C), pages 1-1.
    • Handle: RePEc:eee:stapro:v:155:y:2019:i:c:13
    DOI: 10.1016/j.spl.2019.108563
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    References listed on IDEAS

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    1. Goldys, Benjamin & Röckner, Michael & Zhang, Xicheng, 2009. "Martingale solutions and Markov selections for stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 119(5), pages 1725-1764, May.
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