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

DOI10.4064/ba62-3-7zbMath1312.35028OpenAlexW2326430414MaRDI QIDQ2939991

Cung The Anh, Dang Thanh Son

Publication date: 23 January 2015

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba62-3-7

zbMATH Keywords

unbounded domainfractal dimensionenergy equation methodNewton-Boussinesq equationspulback attractor

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Weak solutions to PDEs (35D30)

Related Items (2)

Pullback \(\mathcal{D}\)-attractors of the 3D Boussinesq equations with damping ⋮ Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications

Cites Work

• Attractors for infinite-dimensional non-autonomous dynamical systems
• Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Boussinesq equations
• Pullback \(\mathcal{D}\)-attractors for the non-autonomous Newton-Boussinesq equation in two-dimensional bounded domain
• Finite fractal dimension of pullback attractors for non-autonomous 2D Navier--Stokes equations in some unbounded domains
• Asymptotic behavior of the Newton-Boussinesq equation in a two-dimensional channel
• Gevrey class regularity and approximate inertial manifolds for the Newton- Boussinesq equations
• Global attractors for damped semilinear wave equations.
• Attractors for reaction-diffusion equations in unbounded domains
• Spectral method for solving two-dimensional Newton-Boussinesq equations
• Nonlinear Galerkin methods for solving two dimensional Newton-Boussinesq equations
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• Lieb-Thirring integral inequalities and their applications to attractors of the Navier-Stokes equations
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