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Finite-dimensional Pullback Attractors for Non-autonomous Newton–Boussinesq Equations in Some Two-dimensional Unbounded Domains

Anh C. T., Son D. T.

Bulletin of the Polish Academy of Sciences. Mathematics

2014

Vol. 62, no. 3

265--289

We study the existence and long-time behavior of weak solutions to Newton–Boussinesq equations in two-dimensional domains satisfying the Poincaré inequality. We prove the existence of a unique minimal finite-dimensional pullback Dσ-attractor for the process associated to the problem with respect to a large class of non-autonomous forcing terms.