Upper bound for the number of degrees of freedom for magneto-micropolar flows and turbulence

DOI10.1016/S0020-7225(02)00283-5zbMath1211.76155MaRDI QIDQ535836

Witold Sadowski

Publication date: 13 May 2011

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

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Magnetohydrodynamics and electrohydrodynamics (76W05) Dynamical systems approach to turbulence (76F20)

Related Items (5)

Local exact controllability to trajectories of the magneto-micropolar fluid equations ⋮ Decay estimates for a class of non‐Newtonian 3D magneto‐micropolar fluids ⋮ \(H^1\)-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains ⋮ Decay estimates of linearized micropolar fluid flows in \(\mathbb{R}^{3}\) space with applications to \(L_{3}\)-strong solutions ⋮ Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids

Cites Work

• Generalization of the Sobolev-Lieb-Thirring inequalities and applications to the dimension of attractors
• Micropolar fluids. Theory and applications
• Infinite-dimensional dynamical systems in mechanics and physics.
• Long-time behavior of 2D micropolar fluid flows
• Universal stability of magneto-micropolar fluid motions
• Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains
• Global attractors for the three-dimensional Navier-Stokes equations
• Some mathematical questions related to the mhd equations
• Attractor for a Navier-Stokes flow in an unbounded domain
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
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