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hal.structure.identifierLaboratoire de Modélisation et Calcul [LMC - IMAG]
dc.contributor.authorBRESCH, Didier
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMETIVIER, Guy
dc.date.accessioned2024-04-04T03:18:42Z
dc.date.available2024-04-04T03:18:42Z
dc.date.issued2006-01
dc.identifier.issn0951-7715
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194434
dc.description.abstractEnThis paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed the depth to be nondegenerate. Elliptic estimates for degenerate equations has to be established studying the behavior of the associated Green function.
dc.language.isoen
dc.publisherIOP Publishing
dc.subject.enweighted Sobolev spaces
dc.subject.endegenerate elliptic equation
dc.subject.enRegularity result
dc.subject.enYoudovitch's method
dc.subject.envorticity-Stream function formulation
dc.subject.enYoudovitch's method.
dc.title.enGlobal existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations
dc.typeArticle de revue
dc.identifier.doi10.1088/0951-7715/19/3/004
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxivmath.AP/0611425
bordeaux.journalNonlinearity
bordeaux.page591-610
bordeaux.volume19
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00113732
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00113732v1
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