Vorticity near point vortices on the rotating sphere shows logarithmic confinement in time, improbability of collisions, and power-law confinement in some cases.
To appear in Mémoires de la Société Mathématique de France in 2026
2 Pith papers cite this work. Polarity classification is still indexing.
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Initial data close to large quasi-periodic traveling waves in the β-plane equation remain close for arbitrary long times independent of wave size, yielding almost global existence for open sets of large initial data.
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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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Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids
Initial data close to large quasi-periodic traveling waves in the β-plane equation remain close for arbitrary long times independent of wave size, yielding almost global existence for open sets of large initial data.