Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid

DOI10.1016/j.amc.2008.01.005zbMath1143.76010OpenAlexW2010492828MaRDI QIDQ945304

Shengfan Zhou, Caidi Zhao, Yongsheng Li

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.005

zbMATH Keywords

existenceskew product flowunique bounded asymptotically stable solution

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35)

Related Items

Pullback \(\mathbb{V}\)-attractor of a three dimensional globally modified two-phase flow model, Pullback attractor of a three dimensional globally modified Cahn–Hilliard-Navier–Stokes model

Cites Work

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• Cauchy problem for the non-Newtonian viscous incompressible fluid
• A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains
• Time decay rates of non-Newtonian flows in \(\mathbf {R}^{n}_{+}\)
• Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid
• Infinite-dimensional dynamical systems in mechanics and physics
• Existence, regularity, and decay rate of solutions of non-Newtonian flow
• \(H^{2}\)-compact attractor for a non-Newtonian system in two-dimensional unbounded domains.
• Attractors for noncompact nonautonomous systems via energy equations.
• Free surface problem of stationary non-Newtonian fluids
• Partial regularity of suitable weak solutions to the system of the incompressible non-Newtonian fluids
• Large time behavior to the system of incompressible non-Newtonian fluids in \(\mathbb{R}^2\)
• Asymptotic stability of non-Newtonian flows with large perturbation in \(\mathbb{R}^{2}\)
• Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces
• Existence of global attractor for the three-dimensional modified Navier-Stokes equations
• Attractors for non-compact semigroups via energy equations
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• Equivalent Norms for Sobolev Spaces
• Regularization of a non-Newtonian system in an unbounded channel: Existence of a maximal compact attractor
• Regularization of a non-Newtonian system in an unbounded channel: Existence and uniqueness of solutions
• Dynamics of evolutionary equations