Asymptotic behavior of micropolar fluid flows

DOI10.1016/S0020-7225(02)00208-2zbMath1211.76020MaRDI QIDQ535867

Grzegorz Ukaszewicz

Publication date: 13 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

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Cites Work

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• Uniqueness and continuous dependence of solutions to the incompressible micropolar flows forward and backward in time
• Order of convergence estimates on the interaction term for a micropolar fluid
• Stability of Couette flow and Dean flow in micropolar fluids
• A note on the existence and uniqueness of solutions of the micropolar fluid equations
• 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
• Stability of micropolar fluid motions
• Existence of periodic solutions of the equations of incompressible micropolar fluid flow
• On Lubrication with Structured Fluids
• On non-stationary flows of incompressible asymmetric fluids
• Eine nichtlineare Differenzengleichung und der Einfluß von Verfahrens- und Rundungsfehlern bei digitalen Integrieranlagen
• The Initial-Boundary-Value Problems in the Theory of Micropolar Fluids
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• On the convergence rate of spectral approximation for the equations for nonhomogeneous asymmetric fluids