Vorticity near point vortices on the rotating sphere shows logarithmic confinement in time, improbability of collisions, and power-law confinement in some cases.
Long time confinement of multiple concentrated vortices
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We study the stability of multiple almost circular concentrated vortices in a fluid evolving according to the two-dimensional Euler equations. We show that, for general configurations, they must remain concentrated on time-scales much longer than previously known as long as they remain separated. We further prove a new stability estimate for the logarithmic interaction energy as part of the proof.
fields
math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
In the odd symmetric half-plane setting, every compactly supported nonnegative initial vorticity admits an arbitrarily small smooth nonnegative perturbation that forces linear-in-time filamentation for the 2D Euler flow.
citing papers explorer
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Confinement results near point vortices on the rotating sphere
Vorticity near point vortices on the rotating sphere shows logarithmic confinement in time, improbability of collisions, and power-law confinement in some cases.
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Remarks on Linear Growth of Vorticity Gradients and Support Diameters for 2D Euler Flow in Half-Plane
In the odd symmetric half-plane setting, every compactly supported nonnegative initial vorticity admits an arbitrarily small smooth nonnegative perturbation that forces linear-in-time filamentation for the 2D Euler flow.