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

• Autorzy: Anh C. T. , Son D. T.

Identyfikatory

DOI

10.4064/ba62-3-7

• Języki publikacji: EN

Abstrakty

EN

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_σ-attractor for the process associated to the problem with respect to a large class of non-autonomous forcing terms.

Słowa kluczowe

EN

Newton–Boussinesq Equations; unbounded domain; pulback attractor; fractal dimension; energy equation method

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: Vol. 62, no. 3
• Strony: 265--289
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Anh C. T.

• Department of Mathematics, Hanoi University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

autor

Son D. T.

• Foundation Sciences Faculty, Telecommunication University, 101 Mai Xuan Thuong, Nha Trang, Khanh Hoa, Vietnam

Bibliografia

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