Stability of Hill's spherical vortex (Q6180707)

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scientific article; zbMATH DE number 7782026

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English	Stability of Hill's spherical vortex	scientific article; zbMATH DE number 7782026

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scholarly article

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Stability of Hill's spherical vortex (English)

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Communications on Pure and Applied Mathematics

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publication date

2 January 2024

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full work available at URL

https://arxiv.org/abs/2011.06808

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MaRDI profile type

MaRDI publication profile

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Existence of vortex rings in Beltrami flows

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Stability of Lamb dipoles

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On the global well-posedness for the axisymmetric Euler equations

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The uniqueness of Hill's spherical vortex

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Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits

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Topological methods in hydrodynamics

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An Introduction to Fluid Dynamics

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On the stability threshold for the 3D Couette flow in Sobolev regularity

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Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations

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2D Euler equation on the strip: Stability of a rectangular patch

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On the stability theory of solitary waves

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Stability and instability of solitary waves of Korteweg-de Vries type

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Steady symmetric vortex pairs and rearrangements

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Uniqueness for the circular vortex-pair in a uniform flow

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Vortex-rings of prescribed impulse

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Isoperimetric properties of Lamb's circular vortex-pair

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Nonlinear stability for steady vortex pairs

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Existence and isoperimetric characterization of steady spherical vortex rings in a uniform flow in R<i><sup>N</sup></i>

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The shape of axisymmetric rotating fluid

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Nonlinear orbital stability for planar vortex patches

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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Generic solvability of the axisymmetric 3-D Euler equations and the 2-D Boussinesq equations

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Axisymmetric weak solutions of the 3-D Euler equations for incompressible fluid flows

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One case of vortex motion in fluid. (Translated from the Russian 1903 original) With an appendix by V. V. Meleshko and G. J. F. van Heijst

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On the estimate of distance traveled by a particle in a disk-like vortex patch

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Growth of perimeter for vortex patches in a bulk

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Filamentation near Hill’s vortex

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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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Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model

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Short-Time Stability of Scalar Viscous Shocks in the Inviscid Limit by the Relative Entropy Method

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On the Euler equations of incompressible fluids

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THREE LATTICE-POINT PROBLEMS OF STEINHAUS

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Axisymmetric incompressible flows with bounded vorticity

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Explicit constants for Rellich inequalities in \(L_p(\Omega)\)

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The Euler equations as a differential inclusion

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On admissibility criteria for weak solutions of the Euler equations

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Ordinary differential equations, transport theory and Sobolev spaces

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

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Groups of diffeomorphisms and the motion of an incompressible fluid

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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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On the Cauchy problem for axi-symmetric vortex rings

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On steady vortex rings of small cross-section in an ideal fluid

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A global theory of steady vortex rings in an ideal fluid

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Vortex Rings: Existence and Asymptotic Estimates

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

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

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Symmetry and related properties via the maximum principle

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Stability theory of solitary waves in the presence of symmetry. I

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The motion of a spherical liquid drop at high Reynolds number

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Viscous approximation and weak solutions of the 3D axisymmetric Euler equations

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Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system

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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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Nonstationary flows of viscous and ideal fluids in \(R^3\)

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

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On the metric Darboux property

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\(L ^{2}\) stability estimates for shock solutions of scalar conservation laws using the relative entropy method

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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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Instabilities of Ideal Fluids and Related Topics: Plenary Lecture, presented at the Annual GAMM Conference, Braunschweig 1994

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

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Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier–Stokes Equation

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Vorticity and the mathematical theory of incompressible fluid flow

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Instability of solitons for the critical generalized Korteweg-de Vries equation

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Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation

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On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid

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Existence of blow-up solutions in the energy space for the critical generalized KdV equation

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The degree of knottedness of tangled vortex lines

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

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On the existence of global vortex rings

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Renormalization and energy conservation for axisymmetric fluid flows

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Steady planar vortex pairs in an ideal fluid

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Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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The nonlinear instability of Hill's vortex

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Linear stability of Hill’s vortex to axisymmetric perturbations

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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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Vortex Dynamics

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Remarks on axisymmetric solutions of the incompressible euler system

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An inviscid flow with compact support in space-time

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A symmetry problem in potential theory

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Note on global existence for axially symmetric solutions of the Euler system

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Stability in 𝐿¹ of circular vortex patches

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Exceptional points for Lebesgue's density theorem on the real line

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Why are solitons stable?

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On steady vortex flow in two dimensions. I

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Blow-up solutions to 3D Euler are hydrodynamically unstable

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

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Nonlinear stability of circular vortex patches

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Existence of weak solutions for the incompressible Euler equations

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Identifiers

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10.1002/cpa.22134

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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:6180707

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