Finite-dimensional Pullback Attractors for Non-autonomous Newton-Boussinesq Equations in Some Two-dimensional Unbounded Domains
Cung The Anh ; Dang Thanh Son
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014), p. 265-289 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:281276 
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     title = {Finite-dimensional Pullback Attractors for Non-autonomous Newton-Boussinesq Equations in Some Two-dimensional Unbounded Domains},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {62},
     year = {2014},
     pages = {265-289},
     zbl = {1312.35028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-3-7}
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Cung The Anh; Dang Thanh Son. Finite-dimensional Pullback Attractors for Non-autonomous Newton-Boussinesq Equations in Some Two-dimensional Unbounded Domains. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) pp. 265-289. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-3-7/