Geodesic
Finite-dimensional Pullback Attractors for Non-autonomous Newton–Boussinesq Equations in Some Two-dimensional Unbounded Domains
Cung The Anh 1   ; Dang Thanh Son 2
1 Department of Mathematics Hanoi University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
2 Foundation Sciences Faculty Telecommunication University 101 Mai Xuan Thuong, Nha Trang Khanh Hoa, Vietnam
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 3, pp. 265-289 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $D_\sigma $-attractor for the process associated to the problem with respect to a large class of non-autonomous forcing terms.
DOI : 10.4064/ba62-3-7
Keywords: study existence long time behavior weak solutions newton boussinesq equations two dimensional domains satisfying poincar inequality prove existence unique minimal finite dimensional pullback sigma attractor process associated problem respect large class non autonomous forcing terms

Cung The Anh  1   ; Dang Thanh Son  2

1 Department of Mathematics Hanoi University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
2 Foundation Sciences Faculty Telecommunication University 101 Mai Xuan Thuong, Nha Trang Khanh Hoa, Vietnam 
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     title = {Finite-dimensional {Pullback} {Attractors} for {Non-autonomous} {Newton{\textendash}Boussinesq} {Equations} in {Some} {Two-dimensional} {Unbounded} {Domains}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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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) no. 3, pp. 265-289. doi: 10.4064/ba62-3-7

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