Pullback attractors for non-autonomous 2D MHD equations on some unbounded domains

• Autorzy: Cung The Anh , Dang Thanh Son
• Języki publikacji: EN

Abstrakty

EN

We study the 2D magnetohydrodynamic (MHD) equations for a viscous incompressible resistive fluid, a system with the Navier-Stokes equations for the velocity field coupled with a convection-diffusion equation for the magnetic fields, in an arbitrary (bounded or unbounded) domain satisfying the Poincaré inequality with a large class of non-autonomous external forces. The existence of a weak solution to the problem is proved by using the Galerkin method. We then show the existence of a unique minimal pullback $D_σ$-attractor for the process associated to the problem. An upper bound on the fractal dimension of the pullback attractor is also given.

Kategorie tematyczne

• 76W05: Magnetohydrodynamics and electrohydrodynamics
• 37L30: Attractors and their dimensions, Lyapunov exponents
• 35D30: Weak solutions
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 113
• Numer: 2
• Strony: 129-154

Daty

wydano

2015

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, Telecommunications University, 101 Mai Xuan Thuong, Nha Trang, Khanh Hoa, Vietnam

Identyfikatory

DOI

10.4064/ap113-2-2