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Annales Polonici Mathematici

2012 | 103 | 3 | 277-302

Long-time behavior for 2D non-autonomous g-Navier-Stokes equations

EN

Abstrakty

EN
We study the first initial boundary value problem for the 2D non-autonomous g-Navier-Stokes equations in an arbitrary (bounded or unbounded) domain satisfying the Poincaré inequality. The existence of a weak solution to the problem is proved by using the Galerkin method. We then show the existence of a unique minimal finite-dimensional pullback $𝓓_σ$-attractor for the process associated to the problem with respect to a large class of non-autonomous forcing terms. Furthermore, when the force is time-independent and "small", the existence, uniqueness and global stability of a stationary solution are also studied.

277-302

wydano
2012

Twórcy

autor
• Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
autor
• Faculty of Information Technology, Le Qui Don Technical University, 100 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam