Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system

DOI10.1007/s00526-015-0902-6zbMath1333.35154arXiv1409.2953OpenAlexW1621360797MaRDI QIDQ889750

Ping Zhang, Hammadi Abidi

Publication date: 9 November 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2953

zbMATH Keywords

incompressible Navier-Stokes systemglobal regularityaxisymmetric solutions3-dimensionalno swirl component

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)

Related Items (7)

Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical condition ⋮ Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl ⋮ Global regularity of 3D nonhomogeneous incompressible micropolar fluids ⋮ Some remarks on regularity criteria of axially symmetric Navier-Stokes equations ⋮ Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl ⋮ Regularity of 3D axisymmetric Navier-Stokes equations ⋮ Global Strong Solutions to the Inhomogeneous Incompressible Navier--Stokes System in the Exterior of a Cylinder

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