A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang (Q5094710)

scientific article; zbMATH DE number 7568029

Language	Label	Description	Also known as
English	A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang	scientific article; zbMATH DE number 7568029

Statements

instance of

scholarly article

0 references

title

A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang (English)

0 references

0 references

0 references

Analysis in Theory and Applications

0 references

publication date

4 August 2022

0 references

full work available at URL

https://arxiv.org/abs/2101.04905

0 references

zbMATH Keywords

regularity

0 references

Liouville theorem

0 references

ancient solutions

0 references

D-solutions

0 references

axially symmetric Navier-Stokes equations

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

On Leray's problem of steady Navier-Stokes flow past a body in the plane

0 references

On the asymptotic form of Navier-Stokes flow past a body in the plane

0 references

ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID

0 references

Q3964958

0 references

Q3938248

0 references

On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases

0 references

An algebraic reduction of the 'scaling gap' in the Navier-Stokes regularity problem

0 references

Nonlinear Schrödinger evolution equations

0 references

Quantitative regularity for the Navier-Stokes equations via spatial concentration

0 references

Mathematical tools for the study of the incompressible Navier-Stokes equations and related models

0 references

A note on limiting cases of sobolev embeddings and convolution inequalities

0 references

A priori bounds for the vorticity of axially symmetric solutions to the Navier-Stokes equations

0 references

Q5591751

0 references

Q4223061

0 references

Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor

0 references

Regularity of 3D axisymmetric Navier-Stokes equations

0 references

Partial regularity of suitable weak solutions of the navier-stokes equations

0 references

Q4285024

0 references

Asymptotic properties of axisymmetric D-solutions of the Navier-Stokes equations

0 references

On the critical one component regularity for 3-D Navier-Stokes system

0 references

On the regularity of the axisymmetric solutions of the Navier-Stokes equations

0 references

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

0 references

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

0 references

Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations

0 references

On Liouville type theorems for the steady Navier-Stokes equations in \(\mathbb{R}^3\)

0 references

Q4040820

0 references

Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations

0 references

Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II

0 references

On the critical one component regularity for 3-D Navier-Stokes system: general case

0 references

Interior and boundary regularity for the Navier-Stokes equations in the critical Lebesgue spaces

0 references

On the regularizing effect of the vorticity direction in incompressible viscous flows

0 references

L3,∞-solutions of the Navier-Stokes equations and backward uniqueness

0 references

On steady-state solutions of the Navier-Stokes partial differential equations

0 references

On the steady-state solutions of the Navier-Stokes equations. III

0 references

On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems

0 references

Q4857359

0 references

Q4288594

0 references

An Introduction to the Mathematical Theory of the Navier-Stokes Equations

0 references

Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1

0 references

Q4162016

0 references

Space-time localization of a class of geometric criteria for preventing blow-up in the 3D NSE

0 references

Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl

0 references

Global well-posedness of the viscous Boussinesq equations

0 references

Global Regularity of the 3D Axi-Symmetric Navier–Stokes Equations with Anisotropic Data

0 references

Sharp one component regularity for Navier-Stokes

0 references

On functions of bounded mean oscillation

0 references

Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

0 references

Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?

0 references

Q4467821

0 references

Liouville theorems for the Navier-Stokes equations and applications

0 references

Well-posedness for the Navier-Stokes equations

0 references

The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl

0 references

On convergence of arbitrary D-solution of steady Navier-Stokes system in 2D exterior domains

0 references

A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions

0 references

Q4692703

0 references

Navier-Stokes equations with regularity in one direction

0 references

Q5576913

0 references

Q5844184

0 references

Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique

0 references

Q4782579

0 references

A new proof of the Caffarelli-Kohn-Nirenberg theorem

0 references

Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I: One singularity

0 references

Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II: Classification of axisymmetric no-swirl solutions

0 references

A Liouville theorem for the axially-symmetric Navier-Stokes equations

0 references

Structure of solutions of 3D axisymmetric Navier-Stokes equations near maximal points

0 references

Criticality of the axially symmetric Navier-Stokes equations

0 references

On axially symmetric flows in \(\mathbb{R}^3\)

0 references

A priori bound on the velocity in axially symmetric Navier-Stokes equations

0 references

Some remarks on regularity criteria of axially symmetric Navier-Stokes equations

0 references

Addendum to: ``A regularity criterion for the Navier-Stokes equation involving only the middle eigenvalue of the strain tensor''

0 references

Remark on uniqueness of mild solutions to the Navier-Stokes equations

0 references

Vorticity and Incompressible Flow

0 references

Green's functions. Construction and applications

0 references

A refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations

0 references

Q4471260

0 references

An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations

0 references

On Leray's self-similar solutions of the Navier-Stokes equations

0 references

Conditions for the Local Boundedness of Solutions of the Navier–Stokes System in Three Dimensions

0 references

Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical condition

0 references

Liouville theorem of axially symmetric Navier-Stokes equations with growing velocity at infinity

0 references

Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.

0 references

Q5485637

0 references

Q3082028

0 references

The Three-Dimensional Navier–Stokes Equations

0 references

Global stability of large solutions to the 3D Navier-Stokes equations

0 references

Partial regularity of solutions to the Navier-Stokes equations

0 references

Hausdorff measure and the Navier-Stokes equations

0 references

A note on bounded scale-invariant quantities for the Navier-Stokes equations

0 references

Liouville type theorem for stationary Navier–Stokes equations

0 references

Lecture Notes on Regularity Theory for the Navier-Stokes Equations

0 references

Q2743226

0 references

On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations

0 references

On Landau's solutions of the Navier-Stokes equations

0 references

SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS

0 references

Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \)

0 references

Q3861771

0 references

Local function spaces, heat and Navier-Stokes equations

0 references

On Leray's self-similar solutions of the Navier-Stokes equations satisfying local energy estimates

0 references

Lectures on Navier-Stokes Equations

0 references

One-point singular solutions to the Navier-Stokes equations

0 references

A new proof of partial regularity of solutions to Navier-Stokes equations

0 references

Remarks on Liouville type theorems for the 3D steady axially symmetric Navier-Stokes equations

0 references

Regularity criterion to the axially symmetric Navier-Stokes equations

0 references

Q3531394

0 references

REGULARITY OF WEAK SOLUTIONS FOR THE NAVIER–STOKES EQUATIONS IN THE CLASS L∞(BMO-1)

0 references

A strong regularity result for parabolic equations

0 references

Local estimates on two linear parabolic equations with singular coefficients

0 references

A Liouville type theorem for axially symmetric \(D\)-solutions to steady Navier-Stokes equations

0 references

Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System

0 references

A new regularity criterion for the Navier-Stokes equations in terms of the gradient of one velocity component.

0 references

Identifiers

DOI

10.4208/ata.OA-2020-0050

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5094710