Conditions for the Local Boundedness of Solutions of the Navier–Stokes System in Three Dimensions

DOI10.1081/PDE-120020490zbMath1048.35066OpenAlexW2137761538MaRDI QIDQ4807601

Mike O'Leary

Publication date: 19 May 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120020490

zbMATH Keywords

weak solutionfundamental solutionsingular integralsStokes problemHardy-Littlewood-Sobolev estimates

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

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• On the interior regularity of weak solutions of the Navier-Stokes equations
• On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations
• The Navier-Stokes equations on a bounded domain
• Hausdorff measure and the Navier-Stokes equations
• On interior regularity criteria for weak solutions of the Navier-Stokes equations
• Interior regularity of weak solutions of the time-dependent Navier-Stokes equation
• Removable singularities of weak solutions to the navier-stokes equations
• Fractional Integration, morrey spaces and a schrödinger equation
• A priori estimates for second-order parabolic equations
• Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations
• On the smoothness of a class of weak solutions to the Navier-Stokes equations

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