Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations
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Publication:2173759
DOI10.1016/j.jfa.2020.108504zbMath1437.35529arXiv1801.07420OpenAlexW3006619825MaRDI QIDQ2173759
Xinghong Pan, Bryan Carrillo, Qi S. Zhang
Publication date: 17 April 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.07420
Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) Partial differential inequalities and systems of partial differential inequalities (35R45) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Axially symmetric solutions to PDEs (35B07)
Related Items (18)
Decay properties of axially symmetric D-solutions to the steady incompressible magnetohydrodynamic equations ⋮ A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang ⋮ Decay rates of second order derivatives of axisymmetric \(D\)-solutions to the stationary Navier-Stokes equations ⋮ Asymptotic properties of the plane shear thickening fluids with bounded energy integral ⋮ Asymptotic properties of generalized D-solutions to the stationary axially symmetric Navier–Stokes equations ⋮ Localised necessary conditions for singularity formation in the Navier-Stokes equations with curved boundary ⋮ Decay and vanishing of some D-solutions of the Navier-Stokes equations ⋮ Asymptotic properties of steady plane solutions of the Navier-Stokes equations in a cone-like domain ⋮ Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition ⋮ Liouville-type theorems for steady MHD and Hall-MHD equations in \(\mathbb{R}^2 \times \mathbb{T}\) ⋮ Some Liouville-type results for the 3D incompressible MHD equations ⋮ Remarks on the Liouville type theorems for the 3D stationary MHD equations ⋮ Remarks on Liouville type theorems for the 3D steady axially symmetric Navier-Stokes equations ⋮ On the vanishing of some D-solutions to the stationary magnetohydrodynamics system ⋮ Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl ⋮ On local type I singularities of the Navier -- Stokes equations and Liouville theorems ⋮ Liouville theorem of D-solutions to the stationary magnetohydrodynamics system in a slab ⋮ Existence and stability of cylindrical symmetric static solutions to the Landau-Lifshitz equation for multidirectional ferromagnets
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