Decay and vanishing of some D-solutions of the Navier-Stokes equations

DOI10.1007/s00205-020-01533-3zbMath1442.35295arXiv1808.10386OpenAlexW3027192951MaRDI QIDQ2190729

Bryan Carrillo, Xinghong Pan, Na Zhao, Qi S. Zhang

Publication date: 22 June 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10386

zbMATH Keywords

Navier-Stokes equations

Mathematics Subject Classification ID

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)

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Decay properties of axially symmetric D-solutions to the steady incompressible magnetohydrodynamic equations ⋮ Liouville theorem of the 3D stationary MHD system: for D-solutions converging to non-zero constant vectors ⋮ A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang ⋮ Asymptotic properties of generalized D-solutions to the stationary axially symmetric 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 ⋮ On the vanishing of some D-solutions to the stationary magnetohydrodynamics system ⋮ Liouville type theorems for stationary Navier-Stokes equations ⋮ Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl ⋮ Remarks on Liouville-type theorems for the steady MHD and Hall-MHD equations ⋮ Liouville theorem of D-solutions to the stationary magnetohydrodynamics system in a slab

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