A well-posedness result for viscous compressible fluids with only bounded density
| hal.structure.identifier | Laboratoire d'Analyse et de Mathématiques Appliquées [LAMA] | |
| hal.structure.identifier | Université Paris-Est Créteil Val-de-Marne - Paris 12 [UPEC UP12] | |
| dc.contributor.author | DANCHIN, Raphaël | |
| hal.structure.identifier | Université Claude Bernard Lyon 1 [UCBL] | |
| hal.structure.identifier | Institut Camille Jordan [ICJ] | |
| hal.structure.identifier | Équations aux dérivées partielles, analyse [EDPA] | |
| dc.contributor.author | FANELLI, Francesco | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Université de Bordeaux [UB] | |
| dc.contributor.author | PAICU, Marius | |
| dc.date.accessioned | 2024-04-04T03:06:13Z | |
| dc.date.available | 2024-04-04T03:06:13Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 2157-5045 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193316 | |
| dc.description.abstractEn | We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible Navier-Stokes equations. Assuming that the initial velocity has slightly sub-critical regularity and that the initial density is a small perturbation (in the L ∞ norm) of a positive constant, we prove the existence of local-in-time solutions. In the case where the density takes two constant values across a smooth interface (or, more generally, has striated regularity with respect to some nondegenerate family of vector-fields), we get uniqueness. This latter result supplements the work by D. Hoff in [26] with a uniqueness statement, and is valid in any dimension d ≥ 2 and for general pressure laws. | |
| dc.description.sponsorship | Fluides inhomogènes : modèles asymptotiques et évolution d'interfaces - ANR-15-CE40-0011 | |
| dc.description.sponsorship | Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027 | |
| dc.description.sponsorship | Community of mathematics and fundamental computer science in Lyon - ANR-10-LABX-0070 | |
| dc.description.sponsorship | Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010 | |
| dc.language.iso | en | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.subject.en | Lagrangian formulation | |
| dc.subject.en | maximal regularity | |
| dc.subject.en | tangential regularity | |
| dc.subject.en | bounded density | |
| dc.subject.en | compressible Navier-Stokes equations | |
| dc.subject.en | Lagrangian formulation | |
| dc.title.en | A well-posedness result for viscous compressible fluids with only bounded density | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2140/apde.2020.13.275 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Analysis & PDE | |
| bordeaux.volume | 13 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01778175 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01778175v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Analysis%20&%20PDE&rft.date=2020&rft.volume=13&rft.issue=1&rft.eissn=2157-5045&rft.issn=2157-5045&rft.au=DANCHIN,%20Rapha%C3%ABl&FANELLI,%20Francesco&PAICU,%20Marius&rft.genre=article |
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