On the regularity of solutions to the Navier-Stokes equations

DOI10.3934/cpaa.2012.11.747zbMath1278.35182OpenAlexW2331647824MaRDI QIDQ1947887

Vittorino Pata

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.747

zbMATH Keywords

Navier-Stokes equationsstrong solutionsweak solutionsblow-upregularity criteria

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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A subdiffusive Navier-Stokes-Voigt system ⋮ A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient ⋮ On lower bounds for possible blow-up solutions to the periodic Navier-Stokes equation ⋮ A weak-\(L^p\) Prodi-Serrin type regularity criterion for the Navier-Stokes equations ⋮ A weak-Lp Prodi-Serrin type regularity criterion for the micropolar fluid equations ⋮ A weak-L^p Prodi-Serrin type regularity criterion for a bioconvective flow

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