Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

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dc.creatorDong, Hongjie
dc.creatorDu, Dapeng
dc.date2007-01-29
dc.date2007-02-13
dc.date.accessioned2026-07-07T07:46:17Z
dc.date.available2026-07-07T07:46:17Z
dc.descriptionWe study the critical dissipative quasi-geostrophic equations in $\bR^2$ with arbitrary $H^1$ initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [11] with a suitable modification. A decay in time estimate for higher order homogeneous Sobolev norms of solutions is also discussed.
dc.description9 pages; revised the introduction, added two references and corrected a few misprints
dc.identifierhttps://arxiv.org/abs/math/0701828
dc.identifierhttp://arxiv.org/abs/math/0701828
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123776
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q35
dc.titleGlobal well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
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