Invariant Gibbs Measures and a.s. Global Well-Posedness for Coupled KdV Systems

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dc.creatorOh, Tadahiro
dc.date2009-04-19
dc.date.accessioned2026-07-07T13:05:47Z
dc.date.available2026-07-07T13:05:47Z
dc.descriptionWe continue our study of the well-posedness theory of a one-parameter family of coupled KdV-type systems in the periodic setting. When the value of a coupling parameter α\in (0, 4) \setminus 1, we show that the Gibbs measure is invariant under the flow and the system is globally well-posed almost surely on the statistical ensemble, provided that certain Diophantine conditions are satisfied.
dc.description19 pages. To appear in Diff. Integ. Eqns
dc.identifierhttps://arxiv.org/abs/0904.2816
dc.identifierhttp://arxiv.org/abs/0904.2816
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227600
dc.subjectAnalysis of PDEs
dc.subject35Q53
dc.titleInvariant Gibbs Measures and a.s. Global Well-Posedness for Coupled KdV Systems
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