摘要
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.
In this paper,we prove the global existence and uniqueness of the strong and weak solutions for 2D Navier-Stokes equations on the torus T2 perturbed by a Lévy process.The existence of invariant measure of the solutions are proved also.
基金
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 (GrantNos.10671197,10671168)
Science Foundation of Jiangsu Province (Grant Nos.BK2006032,06-A-038,07-333)
Key Lab of Random Complex Structures and Data Science,Chinese Academy of Sciences