Decay Asymptotics of the Viscous Camassa-Holm Equations in the Plane

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dc.creatorBjorland, Clayton
dc.date2007-03-03
dc.date.accessioned2026-07-07T07:50:11Z
dc.date.available2026-07-07T07:50:11Z
dc.descriptionWe consider the vorticity formulation of the 2-D viscous Camassa-Holm equations in the whole space. We establish global existence for solutions corresponding to initial data in $L^1$ and describe the large time behavior of solutions with sufficiently small and localized initial data. We calculate the rate at which such solutions approach an ``un-filtered'' Oseen vortex by computing the rate at which the solution of a scaled vorticity problem approaches the solution to a corresponding linearized equation.
dc.description22 pages, submitted
dc.identifierhttps://arxiv.org/abs/math/0703095
dc.identifierhttp://arxiv.org/abs/math/0703095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125080
dc.subjectAnalysis of PDEs
dc.subject35B40; 35K55
dc.titleDecay Asymptotics of the Viscous Camassa-Holm Equations in the Plane
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