Mathematical analysis of the motion of a rigid body in a compressible Navier-Stokes-Fourier fluid
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HAAK, Bernhard H. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MAITY, Debayan | |
| hal.structure.identifier | Institut Élie Cartan de Lorraine [IECL] | |
| hal.structure.identifier | Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX] | |
| dc.contributor.author | TAKAHASHI, Takéo | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | TUCSNAK, Marius | |
| dc.date.accessioned | 2024-04-04T03:08:27Z | |
| dc.date.available | 2024-04-04T03:08:27Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0025-584X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193530 | |
| dc.description.abstractEn | We study an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is described by the compressible Navier-Stokes-Fourier equations, whereas the motion of the solid is governed by Newton's laws. The main results assert the existence of strong solutions, in an L p-L q setting, both locally in time and globally in time for small data. The proof is essentially using the maximal regularity property of associated linear systems. This property is checked by proving the R-sectoriality of the corresponding operators, which in turn is obtained by a perturbation method. | |
| dc.description.sponsorship | Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010 | |
| dc.language.iso | en | |
| dc.publisher | Wiley-VCH Verlag | |
| dc.subject.en | strong | |
| dc.subject.en | AMS subject classifications 35Q30 | |
| dc.subject.en | solutions | |
| dc.subject.en | maximal regularity | |
| dc.subject.en | 76D05 | |
| dc.subject.en | 76N10 | |
| dc.subject.en | R-sectorial operators | |
| dc.subject.en | Compressible Navier-Stokes-Fourier System | |
| dc.subject.en | fluid-particle interaction | |
| dc.title.en | Mathematical analysis of the motion of a rigid body in a compressible Navier-Stokes-Fourier fluid | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1002/mana.201700425 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1710.08245 | |
| bordeaux.journal | Mathematical News / Mathematische Nachrichten | |
| bordeaux.page | 1972-2017 | |
| bordeaux.volume | 292 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 9 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01619647 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01619647v1 | |
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