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Filamentation near Hill’s vortex (Q5883868)

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scientific article; zbMATH DE number 7664950

Language	Label	Description	Also known as
English	Filamentation near Hill’s vortex	scientific article; zbMATH DE number 7664950

Statements

scholarly article

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Filamentation near Hill’s vortex (English)

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Communications in Partial Differential Equations

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publication date

17 March 2023

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full work available at URL

https://arxiv.org/abs/2107.06035

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zbMATH Keywords

filamentation

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incompressible Euler

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long-time dynamics

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nonlinear stability

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particle trajectory

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vortex patch

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MaRDI profile type

MaRDI publication profile

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The response of Hill's spherical vortex to a small axisymmetric disturbance

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Formation and temporal evolution of the Lamb-dipole

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The nonlinear instability of Hill's vortex

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Evolution of the Surface of Hill's Vortex Subjected to a Small Three-Dimensional Disturbance for the Cases of<i><i>m</i>=<b>0</b></i>, 2, 3 and 4

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Viscous evolution of 2D dipolar vortices

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Unsteady evolutions of vortex rings

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Singular integral system approach to regularity of 3D vortex patches

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Remarks on axisymmetric solutions of the incompressible euler system

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Growth of perimeter for vortex patches in a bulk

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Loss of smoothness and energy conserving rough weak solutions for the \(3d\) Euler equations

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\(L^\infty\) ill-posedness for a class of equations arising in hydrodynamics

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Vortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equations

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Quasi-streamwise vortices and enhanced dissipation for incompressible 3D Navier–Stokes equations

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Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\)

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The motion of a spherical liquid drop at high Reynolds number

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The flow into an expanding spherical vortex

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Vortex Rings: Existence and Asymptotic Estimates

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The uniqueness of Hill's spherical vortex

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Variational Principles for Hill's Spherical Vortex and Nearly Spherical Vortices

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The concentration-compactness principle in the calculus of variations. The locally compact case. I

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Renormalization and energy conservation for axisymmetric fluid flows

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Stability of Lamb dipoles

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Nonlinear stability for steady vortex pairs

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On the stability theory of solitary waves

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Why are solitons stable?

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Asymptotic stability and Liouville theorem for scalar viscous conservation laws in cylinders

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Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems

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Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non-\(BV\) perturbations

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Contraction for large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model

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A confinement result for axisymmetric fluids

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Asymptotic behavior of vortices in axisymmetric flow without swirl

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Bounds on the growth of the support of a vortex path

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On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder

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Large time behavior for vortex evolution in the half-plane

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Confinement of vorticity in two dimensional ideal incompressible exterior flow

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Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary

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On vorticity gradient growth for the axisymmetric 3D Euler equations without swirl

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Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations

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The incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domain

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Vorticity and Incompressible Flow

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Growth of anti-parallel vorticity in Euler flows

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On the Cauchy problem for axi-symmetric vortex rings

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Axisymmetric incompressible flows with bounded vorticity

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Bounded mean oscillation and the uniqueness of active scalar equations

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Mathematical theory of incompressible nonviscous fluids

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Identifiers

10.1080/03605302.2022.2139721

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5883868

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