L 2 -compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space

DOI10.1063/1.2709845zbMath1137.37332OpenAlexW2025435959MaRDI QIDQ3442241

Shengfan Zhou, Caidi Zhao

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2709845

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items

Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system, Upper semicontinuity of attractors for a non-Newtonian fluid under small random perturbations, Uniform attractor of non-autonomous three-component reversible Gray-Scott system, Approximation of the incompressible non‐Newtonian fluid equations by the artificial compressibility method, Pullback attractors for a non-autonomous incompressible non-Newtonian fluid, \(H^4\)-boundedness of pullback attractor for a 2D non-Newtonian fluid flow, Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays, Random attractor for the Ladyzhenskaya model with additive noise, Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains

Cites Work

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• A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains
• Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid
• Attractors for nonautonomous 2D Navier-Stokes equations with less regular normal forces
• 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.
• Partial regularity of suitable weak solutions to the system of the incompressible non-Newtonian fluids
• Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces
• Existence of global attractor for the three-dimensional modified Navier-Stokes equations
• Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
• TheH¹-compact global attractor for the solutions to the Navier-Stokes equations in two-dimensional unbounded domains
• 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