Uniform attractors for non-autonomous motion equations of viscoelastic medium

DOI10.1016/j.jmaa.2006.01.078zbMath1104.37014OpenAlexW2073810551MaRDI QIDQ854060

Dmitry A. Vorotnikov, Viktor G. Zvyagin

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.078

zbMATH Keywords

uniform global attractornonautonomous evolution equationminimal uniform trajectory attractormotion of viscoelastic mediumsymbol space

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in solid mechanics (37N15) Viscoelastic fluids (76A10) Nonlinear constitutive equations for materials with memory (74D10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Topological dynamics of nonautonomous systems (37B55)

Related Items (14)

Attractors theory for autonomous systems of hydrodynamics and its application to Bingham model of fluid motion ⋮ Approximating topological approach to the existence of attractors in fluid mechanics ⋮ Uniform attractors for non-autonomous systems of nonlinearly viscous fluid ⋮ Pullback attractors of the Jeffreys-Oldroyd equations ⋮ Asymptotic behavior of the non-autonomous 3D Navier-Stokes problem with coercive force ⋮ Backward controllability of pullback trajectory attractors with applications to multi-valued Jeffreys-Oldroyd equations ⋮ Attractors of an autonomous model of nonlinear viscous fluid ⋮ Uniform attractors for the modified Kelvin-Voigt model ⋮ Topological approximation approach to study of mathematical problems of hydrodynamics ⋮ RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES ⋮ Attractors for weak solutions of a regularized model of viscoelastic mediums motion with memory in non-autonomous case ⋮ Attractors for model of viscoelastic media with memory motion in non-autonomous case ⋮ Pullback attractors for weak solution to modified Kelvin-Voigt model ⋮ Attractors for Weak Solutions of a Regularized Model of Viscoelastic Mediums Motion with Memory in Non-autonomous Case

Cites Work

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• The topological degree method for equations of the Navier-Stokes type
• Trajectory and global attractors of the three-dimensional Navier-Stokes system.
• Attractors of non-autonomous dynamical systems and their dimension
• On the existence of the pressure for solutions of the variational Navier-Stokes equations
• Attractors for nonautonomous nonhomogeneous Navier - Stokes equations
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