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Interaction of vortices in weakly viscous planar flows (Q717474)

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Language	Label	Description	Also known as
English	Interaction of vortices in weakly viscous planar flows	scientific article

Statements

scholarly article

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Interaction of vortices in weakly viscous planar flows (English)

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Archive for Rational Mechanics and Analysis

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publication date

4 October 2011

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full work available at URL

https://arxiv.org/abs/0908.2518

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MaRDI profile type

MaRDI publication profile

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Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations

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Planar Navier-Stokes flow for singular initial data

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VORTEX LAYERS IN THE SMALL VISCOSITY LIMIT

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

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A remark on the inviscid limit for two-dimensional incompressible fluids

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Inviscid limit for vortex patches

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The inviscid limit for non-smooth vorticity

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Viscous vortex patches

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Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque

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Existence de Nappes de Tourbillon en Dimension Deux

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Groups of diffeomorphisms and the motion of an incompressible fluid

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

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

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

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

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Existence and stability of asymmetric Burgers vortices

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

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Hölder regularity of the viscous vortex patches. (Régularité höldérienne des poches de tourbillon visqueuses).

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Singular vortex patches in a fluid of low viscosity

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

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The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity

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Viscous interactions of two co-rotating vortices before merging

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The emergence of isolated coherent vortices in turbulent flow

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Spectral properties of the linearization at the Burgers vortex in the high rotation limit

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On the existence of Burgers vortices for high Reynolds numbers

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EXISTENCE OF ASYMMETRIC BURGERS VORTICES AND THEIR ASYMPTOTIC BEHAVIOR AT LARGE CIRCULATIONS

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Euler evolution for singular initial data and vortex theory: A global solution

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On the vanishing viscosity limit for two-dimensional Navier-Stokes equations with singlular initial data

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On the inviscid limit for a fluid with a concentrated vorticity

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Vortices and localization in Euler flows

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Mathematical theory of incompressible nonviscous fluids

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Remarks about the inviscid limit of the Navier-Stokes system

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Generalized Helmholtz–Kirchhoff Model for Two-Dimensional Distributed Vortex Motion

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The \(N\)-vortex problem. Analytical techniques

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Diffusion processes with generators of generalized divergence form

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Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations

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The Convergence with Vanishing Viscosity of Nonstationary Navier-Stokes Flow to Ideal Flow in R 3

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Viscous vortical flows

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Motion and Decay of a Vortex in a Nonuniform Stream

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Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1

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Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid

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Identifiers

zbMATH Open document ID

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10.1007/s00205-010-0362-2

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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:717474

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