Non-uniform decay of MHD equations with and without magnetic diffusion

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dc.creatorAgapito, Ruben
dc.creatorSchonbek, Maria
dc.date2006-05-24
dc.date.accessioned2026-07-07T07:14:29Z
dc.date.available2026-07-07T07:14:29Z
dc.descriptionWe consider the long time behavior of solutions to the magnetohydrodynamics equations in two and three spatial dimensions. It is shown that in the absence of magnetic diffusion, if strong bounded solutions were to exist their energy cannot present any asymptotic oscillatory behavior, the diffusivity of the velocity is enough to prevent such oscillations. When magnetic diffusion is present and the data is only in L^2, it is shown that the solutions decay to zero without a rate, and this nonuniform decay is optimal.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0605638
dc.identifierhttp://arxiv.org/abs/math/0605638
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112897
dc.subjectAnalysis of PDEs
dc.titleNon-uniform decay of MHD equations with and without magnetic diffusion
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