Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations
| hal.structure.identifier | Laboratoire de Modélisation et Calcul [LMC - IMAG] | |
| dc.contributor.author | BRESCH, Didier | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | METIVIER, Guy | |
| dc.date.accessioned | 2024-04-04T03:18:42Z | |
| dc.date.available | 2024-04-04T03:18:42Z | |
| dc.date.issued | 2006-01 | |
| dc.identifier.issn | 0951-7715 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194434 | |
| dc.description.abstractEn | This 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.iso | en | |
| dc.publisher | IOP Publishing | |
| dc.subject.en | weighted Sobolev spaces | |
| dc.subject.en | degenerate elliptic equation | |
| dc.subject.en | Regularity result | |
| dc.subject.en | Youdovitch's method | |
| dc.subject.en | vorticity-Stream function formulation | |
| dc.subject.en | Youdovitch's method. | |
| dc.title.en | Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1088/0951-7715/19/3/004 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | math.AP/0611425 | |
| bordeaux.journal | Nonlinearity | |
| bordeaux.page | 591-610 | |
| bordeaux.volume | 19 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00113732 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00113732v1 | |
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