On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain
| hal.structure.identifier | Department of Mathematics, Graduate School of Science | |
| dc.contributor.author | MAEKAWA, Yasunori | |
| hal.structure.identifier | Tokyo Institute of Technology [Tokyo] [TITECH] | |
| dc.contributor.author | MIURA, Hideyuki | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PRANGE, Christophe | |
| dc.date.accessioned | 2024-04-04T02:32:11Z | |
| dc.date.available | 2024-04-04T02:32:11Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1422-6928 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190360 | |
| dc.description.abstractEn | We study the three-dimensional Navier–Stokes equations in the presence of the axisymmetric linear strain, where the strain rate depends on time in a specific manner. It is known that the system admits solutions which blow up in finite time and whose profiles are in a backward self-similar form of the familiar Burgers vortices. In this paper it is shown that the existing stability theory of the Burgers vortex leads to the stability of these blow-up solutions as well. The secondary blow-up is also observed when the strain rate is relatively weak. | |
| dc.description.sponsorship | Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Navier-Stokes equations | |
| dc.subject.en | blow-up solutions | |
| dc.subject.en | Burgers vortex | |
| dc.subject.en | stability | |
| dc.subject.en | backward self-similarity | |
| dc.title.en | On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00021-019-0450-5 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Physique Numérique [physics.comp-ph] | |
| dc.identifier.arxiv | 1807.10341 | |
| bordeaux.journal | Journal of Mathematical Fluid Mechanics | |
| bordeaux.page | 46 | |
| bordeaux.volume | 21 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01915545 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01915545v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Fluid%20Mechanics&rft.date=2019&rft.volume=21&rft.spage=46&rft.epage=46&rft.eissn=1422-6928&rft.issn=1422-6928&rft.au=MAEKAWA,%20Yasunori&MIURA,%20Hideyuki&PRANGE,%20Christophe&rft.genre=article |
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