A New Discontinuous Galerkin Formulation for the Boussinesq system with Navier-type boundary condition
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOUHARGUANE, Afaf | |
| hal.structure.identifier | Laboratoire de Mathématiques Nicolas Oresme [LMNO] | |
| dc.contributor.author | SELOULA, Nour | |
| dc.date.accessioned | 2024-04-04T02:34:22Z | |
| dc.date.available | 2024-04-04T02:34:22Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190545 | |
| dc.description.abstractEn | In this work we propose and analyze a discontinuous Galerkin method for the nonlinear coupled Navier-Stokes/temperature (or Boussinesq) equations with Navier-type boundary condition for the velocity. Existence and uniqueness of the solution are obtained under a small data condition. We provide a priori error estimates in terms of a natural energy norms for the velocity, the pressure and the temperature. To our knowledge, it is the first time that a discontinuous Galerkin approximation for the full nonlinear coupled Bousinessq system, with Navier-type boundary condition for the velocity, is proposed and completely analyzed in both, continuous and discrete settings. | |
| dc.language.iso | en | |
| dc.subject.en | discrete Sobolev inequality | |
| dc.subject.en | Stationary Boussinesq equations | |
| dc.subject.en | discontinuous Galerkin method | |
| dc.subject.en | Navier boundary condition | |
| dc.subject.en | fixed point theory | |
| dc.subject.en | a priori error estimate | |
| dc.title.en | A New Discontinuous Galerkin Formulation for the Boussinesq system with Navier-type boundary condition | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04096856 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04096856v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BOUHARGUANE,%20Afaf&SELOULA,%20Nour&rft.genre=preprint |
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