Long-time behavior of micropolar fluid equations in cylindrical domains

DOI10.1016/j.nonrwa.2013.04.005zbMath1295.35101arXiv1207.2003OpenAlexW1999814200MaRDI QIDQ2252955

Bernard Nowakowski

Publication date: 24 July 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2003

zbMATH Keywords

non-autonomous equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35)

Related Items

Global existence of strong solutions to micropolar equations in cylindrical domains ⋮ \(H^{2}\)-boundedness of the pullback attractor of the micropolar fluid flows with infinite delays ⋮ MICROPOLAR FLUID FLOWS WITH DELAY ON 2D UNBOUNDED DOMAINS ⋮ Pullback exponential attractors for the non-autonomous micropolar fluid flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On global regular solutions to the Navier-Stokes equations in cylindrical domains
• Global attractors of two-dimensional micropolar fluid flows in some unbounded domains
• Order of convergence estimates on the interaction term for a micropolar fluid
• \(H^1\)-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains
• Pullback attractor for heat convection problem in a micropolar fluid
• Pullback attractor for non-homogeneous micropolar fluid flows in non-smooth domains
• On \(H^1\)-pullback attractors for nonautonomous micropolar fluid equations in a bounded domain
• A note on the existence and uniqueness of solutions of the micropolar fluid equations
• Local attractor for \(n-D\) Navier-Stokes system
• Micropolar fluids. Theory and applications
• Infinite-dimensional dynamical systems in mechanics and physics.
• Long-time behavior of 2D micropolar fluid flows
• Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains
• Large time existence of strong solutions to micropolar equations in cylindrical domains
• Pullback attractors of non-autonomous micropolar fluid flows
• Microcontinuum fluid mechanics - a review
• COMPARISON BETWEEN TRAJECTORY AND GLOBAL ATTRACTORS FOR EVOLUTION SYSTEMS WITHOUT UNIQUENESS OF SOLUTIONS
• On hydrodynamic boundary conditions for microstructural fluids
• Fluid Mechanical Aspects of Antisymmetric Stress
• Magneto-micropolar fluid motion: Global existence of strong solutions
• Dynamics of evolutionary equations