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

• Autorzy: Cung The Anh , Dang Thanh Son
• 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.

Kategorie tematyczne

• 37L30: Attractors and their dimensions, Lyapunov exponents
• 35B41: Attractors
• 76D99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: 62
• Numer: 3
• Strony: 265-289

Daty

wydano

2014

Twórcy

autor

Cung The Anh

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

autor

Dang Thanh Son

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

Identyfikatory

DOI

10.4064/ba62-3-7