Attractors and dynamical systems generated by initial-boundary problems for the equations of motion of viscoelastic fluids

DOI10.1007/BF01099349zbMath0672.76013OpenAlexW2063819346MaRDI QIDQ1120386

A. P. Oskolkov, N. A. Karazeeva

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01099349

zbMATH Keywords

semigrouphyperbolic systemsglobal attractordissipativeKelvin-Voigt fluidminimalOldroyd fluidsKelvin-Voigt fluidsinformational dimensionparabolic dissipative systems

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Viscoelastic fluids (76A10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

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• Limit states for modified Navier-Stokes equations in three-dimensional space
• Limit behavior and on the attractor for the equations of motion of Oldroyd fluids
• Dynamical system generated by the equations of motion of Oldroyd fluids
• Attractors for certain nonlinear problems of mathematical physics
• Attractors of nonlinear evolution problems with dissipation
• A dynamical system generated by the Navier-Stokes equations
• Some nonstationary linear and quasilinear systems occuring in the investigation of the motion of viscous fluids
• The uniqueness and global solvability of boundary-value problems for the equations of motion for aqueous solutions of polymers
• Finite-dimensionality of bounded invariant sets for Navier-Stokes systems and other dissipative systems
• Dynamical system generated by the equations of motion of an Oldroyd fluid of order L

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