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Approximations of stochastic Navier–Stokes equations
Institution:1. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;2. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;1. Department of Mathematics, Faculty of Sci & Tech., University of Macau, Macau, China;2. School of Mathematics and Information Science, North Minzu University, Yinchuan, China
Abstract:In this paper we show that solutions of two-dimensional stochastic Navier–Stokes equations driven by Brownian motion can be approximated by stochastic Navier–Stokes equations forced by pure jump noise/random kicks.
Keywords:Stochastic Navier–Stokes equations  Stochastic partial differential equations  Approximations  Weak convergence  Jump noise
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