Vortex Filament Solutions of the Navier‐Stokes Equations (Q6049737)

scientific article; zbMATH DE number 7748339

Language	Label	Description	Also known as
English	Vortex Filament Solutions of the Navier‐Stokes Equations	scientific article; zbMATH DE number 7748339

Statements

instance of

scholarly article

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title

Vortex Filament Solutions of the Navier‐Stokes Equations (English)

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author

Jacob Bedrossian

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Pierre Germain

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Benjamin Harrop-Griffiths

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published in

Communications on Pure and Applied Mathematics

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publication date

11 October 2023

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full work available at URL

https://arxiv.org/abs/1809.04109

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zbMATH Keywords

Navier-Stokes equations

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self-similar solutions

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vorticity

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MaRDI profile type

MaRDI publication profile

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cites work

On the stability of a singular vortex dynamics

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Scattering for 1D cubic NLS and singular vortex dynamics

0 references

Stability of the self-similar dynamics of a vortex filament

0 references

The initial value problem for the binormal flow with rough data

0 references

Evolution of polygonal lines by the binormal flow

0 references

Uniqueness criteria for the Oseen vortex in the 3d Navier-Stokes equations

0 references

Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in $\mathbb R^2$ with measure-valued initial data

0 references

Q4944473

0 references

Q4223061

0 references

A generalization of a theorem by Kato on Navier-Stokes equations

0 references

Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation

0 references

Remarques sur l’Existence Globale Pour le Système de Navier–Stokes Incompressible

0 references

Uniqueness theorems for the three dimensional Navier-Stokes system

0 references

Global regularity for some classes of large solutions to the Navier-Stokes equations

0 references

Q5848416

0 references

One-Parameter Semigroups for Linear Evolution Equations

0 references

On the Cauchy problem for axi-symmetric vortex rings

0 references

On the Navier-Stokes initial value problem. I

0 references

Three-dimensional distortions of a vortex filament with axial velocity

0 references

Uniqueness for the two-dimensional Navier-Stokes equation with a measure as initial vorticity

0 references

On the uniqueness of the solution of the two‐dimensional Navier–Stokes equation with a Dirac mass as initial vorticity

0 references

On global infinite energy solutions to the Navier-Stokes equations in two dimensions

0 references

Stability and interaction of vortices in two-dimensional viscous flows

0 references

Three-dimensional stability of Burgers vortices

0 references

On the linear stability of vortex columns in the energy space

0 references

Spectral stability of inviscid columnar vortices

0 references

Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations

0 references

Uniqueness of axisymmetric viscous flows originating from circular vortex filaments

0 references

Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on $\mathbb R^2$

0 references

Global stability of vortex solutions of the two-dimensional Navier-Stokes equation

0 references

Navier-Stokes equations in $\mathbb R^2$: existence and asymptotic behavior of infinite energy solutions

0 references

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

0 references

Solutions for semilinear parabolic equations in $L^ p$ and regularity of weak solutions of the Navier-Stokes system

0 references

Navier-stokes flow in r<sup>3</sup>with measures as initial vorticity and morrey spaces

0 references

Two-dimensional Navier-Stokes flow with measures as initial vorticity

0 references

A soliton on a vortex filament

0 references

On the vortex filament conjecture for Euler flows

0 references

On Schr\"odinger maps from $T^1$ to $S^2$

0 references

On the motion of a curve by its binormal curvature

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

Strong $L^ p$-solutions of the Navier-Stokes equation in $R^ m$, with applications to weak solutions

0 references

Strong solutions of the Navier-Stokes equation in Morrey spaces

0 references

On the nonstationary Navier-Stokes systems

0 references

Well-posedness for the Navier-Stokes equations

0 references

Q4370074

0 references

Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data

0 references

Q4360235

0 references

Pseudospectral and spectral bounds for the Oseen vertices operator

0 references

Vorticity and Incompressible Flow

0 references

Diffusion processes with generators of generalized divergence form

0 references

Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in $\mathbb{R}^ 3$

0 references

VORTEX DYNAMICS IN TURBULENCE

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The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics

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Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations

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Sitelinks

Mathematics(1 entry)

mardi Publication:6049737