Dispersive effects of weakly compressible and fast rotating inviscid fluids
| hal.structure.identifier | Laboratoire de Mathématiques Raphaël Salem [LMRS] | |
| dc.contributor.author | NGO, Van-Sang | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SCROBOGNA, Stefano | |
| dc.date.accessioned | 2024-04-04T03:13:01Z | |
| dc.date.available | 2024-04-04T03:13:01Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 1078-0947 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193916 | |
| dc.description.abstractEn | We consider a system describing the motion of an isentropic, inviscid, weakly com-pressible, fast rotating fluid in the whole space R^3 , with initial data belonging to H^s(R^3) , s > 5/2. We prove that the system admits a unique local strong solution in L^∞([0, T ]; H^s(R^3)) , where T is independent of the Rossby and Mach numbers. Moreover, using Strichartz-type estimates, we prove that the solution is almost global, i.e. its lifespan is of the order of ε^(−α) , α > 0, without any smallness assumption on the initial data (the initial data can even go to infinity in some sense), provided that the rotation is fast enough. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.title.en | Dispersive effects of weakly compressible and fast rotating inviscid fluids | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1611.06112 | |
| bordeaux.journal | Discrete and Continuous Dynamical Systems - Series A | |
| bordeaux.page | 749-789 | |
| bordeaux.volume | 38 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01396780 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01396780v1 | |
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