Some remarks on the paper ``On the blow up criterion of 3D Navier-Stokes equations by J. Benameur

DOI10.1016/j.crma.2014.09.012zbMath1307.35188OpenAlexW2070857932MaRDI QIDQ470131

Paulo R. Zingano, Wilberclay G. Melo, Pablo Braz e Silva

Publication date: 11 November 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.09.012

zbMATH Keywords

Sobolev spacesNavier-Stokes equationsblow-up criterion

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items

Existence, uniqueness and blow-up of solutions for the 3D Navier-Stokes equations in homogeneous Sobolev-Gevrey spaces, Large time decay for the magnetohydrodynamics equations in Sobolev-Gevrey spaces, On local existence, uniqueness and blow-up of solutions for the generalized MHD equations in Lei-Lin 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, Well-posedness, blow-up criteria and stability for solutions of the generalized MHD 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

Cites Work

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• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Micropolar fluids. Theory and applications
• Decay in time of incompressible flows
• Large-time behaviour of solutions to the magneto-hydrodynamics equations
• 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
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