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 me...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.展开更多
基金supported by National Basic Research Program of China (Grant No. 2006CB8059000)Science Fund for Creative Research Groups (Grant No.10721101)+2 种基金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
文摘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.
