The magneto-micropolar equations with periodic boundary conditions: solution properties at potential blow-up times

DOI10.1016/j.jmaa.2015.11.005zbMath1334.35248OpenAlexW2112282411MaRDI QIDQ898840

Wilberclay G. Melo

Publication date: 21 December 2015

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.2015.11.005

zbMATH Keywords

blow-up criteriahomogeneous Sobolev spacesmagneto-micropolar equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44)

Related Items (9)

Local exact controllability to trajectories of the magneto-micropolar fluid equations ⋮ New blow‐up criteria for local solutions of the 3D generalized MHD equations in Lei–Lin–Gevrey spaces ⋮ Large time decay for the magnetohydrodynamics equations in Sobolev-Gevrey spaces ⋮ Mathematical Theory of Incompressible Flows: Local Existence, Uniqueness, and Blow-Up of Solutions in Sobolev–Gevrey Spaces ⋮ Unnamed Item ⋮ Local existence, uniqueness and lower bounds of solutions for the magnetohydrodynamics equations in Sobolev-Gevrey spaces ⋮ Asymptotic behavior of solutions for the 2D micropolar equations in Sobolev–Gevrey spaces ⋮ Navier–Stokes equations: local existence, uniqueness and blow-up of solutions in Sobolev–Gevrey spaces ⋮ Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids

Cites Work

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• Existence and uniqueness of strong solution for the incompressible micropolar fluid equations in domains of \(\mathbb R^{3}\)
• On the blow-up criterion of periodic solutions for micropolar equations in homogeneous Sobolev spaces
• Micropolar fluids. Theory and applications
• Magneto-micropolar fluid motion: Existence of weak solutions
• Lower bounds on blow-up of solutions for magneto-micropolar fluid systems in homogeneous Sobolev spaces
• Lower bounds on blow up solutions of the three-dimensional Navier–Stokes equations in homogeneous Sobolev spaces
• Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• On the blow‐up criterion of the periodic incompressible fluids
• Magneto-micropolar fluid motion: Global existence of strong solutions

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