论文信息 - Dissipativity and invariant measures for stochastic Navier-Stokes equations - 字舞流文

Dissipativity and invariant measures for stochastic Navier-Stokes equations

A 2-dimensional stochastic Navier-Stokes equation with a general white noise is considered. The aim is to prove the existence of invariant measures, using a new dissipativity property of the stochastic dynamic.

Franco Flandoli | F. Flandoli

[1] E. Boschi. Recensioni: J. L. Lions - Quelques méthodes de résolution des problémes aux limites non linéaires. Dunod, Gauthier-Vi;;ars, Paris, 1969; , 1971 .

[2] H. Crauel,et al. Attractors for random dynamical systems , 1994 .

[3] Amnon Pazy,et al. Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[4] Roger Temam,et al. Stochastic Burgers' equation , 1994 .

[5] R. Temam. Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer Verlag , 1993 .

[6] A. Cruzeiro. Solutions ET mesures invariantes pour des equations d'evolution Stochastiques du type Navier-Stokes , 1987 .

[7] J. Lions. Quelques méthodes de résolution de problèmes aux limites non linéaires , 1969 .

[8] F. Yashima. Equations de navier-stokes stochastiques non homogènes et applications , 1992 .

[9] A. Fursikov,et al. Mathematical Problems of Statistical Hydromechanics , 1988 .

[10] R. Temam. Navier-Stokes Equations , 1977 .

[11] A. Bensoussan,et al. Equations stochastiques du type Navier-Stokes , 1973 .