English

3D tamed Navier-Stokes equations driven by multiplicative L\'{e}vy noise: Existence, uniqueness and large deviations

Probability 2020-02-24 v2

Abstract

In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative Levy noise with periodic boundary conditions. Then we establish the large deviation principles of the strong solution on the state space D([0,T];H1)\mathcal{D}([0,T];\mathbb{H}^1), where the weak convergence approach plays a key role.

Keywords

Cite

@article{arxiv.1810.08868,
  title  = {3D tamed Navier-Stokes equations driven by multiplicative L\'{e}vy noise: Existence, uniqueness and large deviations},
  author = {Zhao Dong and Rangrang Zhang},
  journal= {arXiv preprint arXiv:1810.08868},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1801.09565; text overlap with arXiv:1701.00314 by other authors

R2 v1 2026-06-23T04:47:04.272Z