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Desingularization of vortex rings in 3 dimensional Euler flows (Q2208473)

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Language	Label	Description	Also known as
English	Desingularization of vortex rings in 3 dimensional Euler flows	scientific article

Statements

scholarly article

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Desingularization of vortex rings in 3 dimensional Euler flows (English)

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Journal of Differential Equations

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publication date

3 November 2020

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full work available at URL

https://arxiv.org/abs/1905.10342

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zbMATH Keywords

incompressible Euler system

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vortex rings

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inviscid limit

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MaRDI profile type

MaRDI publication profile

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Dual variational methods in critical point theory and applications

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Existence of steady vortex rings in an ideal fluid

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Asymptotic behaviour in planar vortex theory

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The uniqueness of Hill's spherical vortex

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The uniqueness of a family of steady vortex rings

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Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation

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Vortex rings in R <sup>3</sup> and rearrangements

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Critical Points of the $N$-vortex Hamiltonian in Bounded Planar Domains and Steady State Solutions of the Incompressible Euler Equations

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\(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations

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On steady laminar flow with closed streamlines at large Reynolds number

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On a free boundary problem arising in plasma physics

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Nonlinear desingularization in certain free-boundary problems

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Vortex rings in a cylinder and rearrangements

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Rearrangements of functions, maximization of convex functionals, and vortex rings

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Global nonlinear stability for steady ideal fluid flow in bounded planar domains

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Time evolution of concentrated vortex rings

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The shape of axisymmetric rotating fluid

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Asymptotic estimates for the plasma problem

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Regularization of point vortices pairs for the Euler equation in dimension two

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Planar vortex patch problem in incompressible steady flow

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Local uniqueness for vortex patch problem in incompressible planar steady flow

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On desingularization of steady vortex for the lake equations

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Gluing methods for vortex dynamics in Euler flows

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Travelling helices and the vortex filament conjecture in the incompressible Euler equations

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Asymptotic of Steady Vortex Pair in the Lake Equation

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Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem

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Rearrangements of functions on unbounded domains

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

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Examples of 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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On the vortex filament conjecture for Euler flows

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An Elliptic Problem Related to Planar Vortex Pairs

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On the existence of global vortex rings

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Desingularization of vortices for the Euler equation

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On the bifurcation of steady vortex rings from a Green function

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Remarks on a free Boundary Value Problem Arising in Plasma Physics

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On steady vortex flow in two dimensions. I

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Vortex Rings with Swirl: Axisymmetric Solutions of the Euler Equations with Nonzero Helicity

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Global vortex rings and asymptotic behaviour

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Identifiers

zbMATH Open document ID

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10.1016/j.jde.2020.09.014

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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:2208473

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