On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component
From MaRDI portal
Publication:1703141
DOI10.1007/s00526-017-1288-4zbMath1384.35065arXiv1702.06279OpenAlexW2589557194MaRDI QIDQ1703141
Publication date: 1 March 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.06279
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (8)
On the Existence and Structures of Almost Axisymmetric Solutions to 3-D Navier–Stokes Equations ⋮ Global well-posedness of 3D axisymmetric MHD system with pure swirl magnetic field ⋮ Global well-posedness of 3D axisymmetric MHD system with large swirl magnetic field ⋮ Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl ⋮ Global regular axially-symmetric solutions to the Navier-Stokes equations with small swirl ⋮ Long-time asymptotics of axisymmetric Navier-Stokes equations in critical spaces ⋮ On the global stability of large Fourier mode for 3-D Navier-Stokes equations ⋮ Solving the axisymmetric Navier-Stokes equations in critical spaces (I): The case with small swirl component
Cites Work
- Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- On the regularity of the axisymmetric solutions of the Navier-Stokes equations
- On axially symmetric flows in \(\mathbb{R}^3\)
- On the Cauchy problem for axi-symmetric vortex rings
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System
This page was built for publication: On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component
