Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains

DOI10.4171/PM/1857zbMath1185.35164MaRDI QIDQ2269738

Pigong Han

Publication date: 11 March 2010

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/journal.php?jrn=pm

zbMATH Keywords

Navier-Stokes equationsregularity criterionSerrin's condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (2)

Algebraic decay of weak solutions to 3D Navier-Stokes equations in general unbounded domains ⋮ Large time behavior for the incompressible magnetohydrodynamic equations in half-spaces

Cites Work

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• Some results on the asymptotic behaviour of weak Hopf solutions of the Navier-Stokes equations in unbounded domains
• \(L^ 2\)-decay for Navier-Stokes flows in unbounded domains, with application to exterior stationary flows
• Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
• On the asymptotic stability of steady solutions of the Navier–Stokes equations in unbounded domains
• On the smoothness of a class of weak solutions to the Navier-Stokes equations

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