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Global solutions of stochastic 2D Navier-Stokes equations with Lévy noise

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Abstract

In this paper, we prove the global existence and uniqueness of the strong and weak solutions for 2D Navier-Stokes equations on the torus \( \mathbb{T}^2 \) perturbed by a Lévy process. The existence of invariant measure of the solutions are proved also.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Zhao Dong

  2. School of Mathematics, Xuzhou Normal University, Xuzhou, 221116, China

    YinChao Xie

Authors
  1. Zhao Dong
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  2. YinChao Xie
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Corresponding author

Correspondence to Zhao Dong.

Additional information

This work was supported by National Basic Research Program of China (Grant No. 2006CB8059000), Science Fund for Creative Research Groups (Grant No. 10721101), National Natural Science Foundation of China (Grant Nos. 10671197, 10671168), Science Foundation of Jiangsu Province (Grant Nos. BK2006032, 06-A-038, 07-333) and Key Lab of Random Complex Structures and Data Science, Chinese Academy of Sciences

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Dong, Z., Xie, Y. Global solutions of stochastic 2D Navier-Stokes equations with Lévy noise. Sci. China Ser. A-Math. 52, 1497–1524 (2009). https://doi.org/10.1007/s11425-009-0124-5

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  • DOI: https://doi.org/10.1007/s11425-009-0124-5

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