BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy
| hal.structure.identifier | Commissariat à l'Energie Atomique et aux Energies Alternatives [CEA-CESTA] | |
| dc.contributor.author | MATHIAUD, J. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MIEUSSENS, Luc | |
| dc.date | 2020 | |
| dc.date.accessioned | 2024-04-04T02:55:26Z | |
| dc.date.available | 2024-04-04T02:55:26Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192365 | |
| dc.description.abstractEn | We propose two models of the Boltzmann equation (BGK and Fokker-Planck models) for rarefied flows of diatomic gases in vibrational non-equilibrium. These models take into account the discrete repartition of vibration energy modes, which is required for high temperature flows, like for atmospheric re-entry problems. We prove that these models satisfy conservation and entropy properties (H-theorem), and we derive their corresponding compressible Navier-Stokes asymptotics. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | BGK model | |
| dc.subject.en | H-theorem | |
| dc.subject.en | Rarefied Gas Dynamics | |
| dc.subject.en | vibrational molecules | |
| dc.subject.en | Fokker-Planck model | |
| dc.title.en | BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s10955-020-02490-7 | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.identifier.arxiv | 1904.02403 | |
| bordeaux.journal | Journal of Statistical Physics | |
| 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-02088966 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02088966v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Statistical%20Physics&rft.date=2020&rft.eissn=0022-4715&rft.issn=0022-4715&rft.au=MATHIAUD,%20J.&MIEUSSENS,%20Luc&rft.genre=article |
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