On the large-time behavior of two-dimensional vortex dynamics

DOI10.1016/S0167-2789(03)00028-9zbMath1092.76010OpenAlexW2052362177MaRDI QIDQ1871400

Milton da Costa Lopes Filho, Helena J. Nussenzveig Lopes, Dragoş Iftimie

Publication date: 7 May 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(03)00028-9

zbMATH Keywords

convergencedynamical rescalingtotal vorticity integral

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items

Confinement of vorticity in two dimensional ideal incompressible exterior flow ⋮ Vortices on Closed Surfaces ⋮ An asymptotic property of the Camassa-Holm equation ⋮ An asymptotic property of the Camassa-Holm equation on the half-line ⋮ From point vortices to vortex patches in self-similar expanding configurations ⋮ Self-similar point vortices and confinement of vorticity ⋮ On Singular Vortex Patches, I: Well-posedness Issues

Cites Work

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• On the inviscid limit for a fluid with a concentrated vorticity
• Large time behavior for vortex evolution in the half-plane
• Bounds on the growth of the support of a vortex path
• A confinement result for axisymmetric fluids
• Existence de Nappes de Tourbillon en Dimension Deux
• An Extension of Marchioro's Bound on the Growth of a Vortex Patch to Flows with series\itshape L$^\mbox\scriptsizeseries\itshapep$ Vorticity
• Bounds on the Dispersion of Vorticity in 2D Incompressible, Inviscid Flows with A Priori Unbounded Velocity
• On the Growth of the Vorticity Support for an Incompressible Non-viscous Fluid in a Two-dimensional Exterior Domain

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