Analyticity and Gevrey-class regularity for the second-grade fluid equations
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAICU, Marius | |
| hal.structure.identifier | Department of Mathematics [USC] | |
| dc.contributor.author | VICOL, Vlad | |
| dc.date.accessioned | 2024-04-04T02:17:23Z | |
| dc.date.available | 2024-04-04T02:17:23Z | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 1422-6928 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189223 | |
| dc.description.abstractEn | We address the global persistence of analyticity and Gevrey-class regularity of solutions to the two and three-dimensional visco-elastic second-grade fluid equations. We obtain an explicit novel lower bound on the radius of analyticity of the solutions that does not vanish as t → ∞, and which is independent of the Rivlin-Ericksen material parameter α. Applications to the damped incompressible Euler equations are also given. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Analyticity and Gevrey-class regularity for the second-grade fluid equations | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Mathematical Fluid Mechanics | |
| bordeaux.page | 533-555 | |
| bordeaux.volume | 13 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00994723 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00994723v1 | |
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