ON THE STRIATED REGULARITY FOR THE 2D ANISOTROPIC BOUSSINESQ SYSTEM
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAICU, Marius | |
| dc.contributor.author | ZHU, Ning | |
| dc.date | 2020 | |
| dc.date.accessioned | 2024-04-04T02:55:44Z | |
| dc.date.available | 2024-04-04T02:55:44Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0938-8974 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192392 | |
| dc.description.abstractEn | In this paper, we investigate the global existence and uniqueness of strong solutions to the 2D anisotoropic Boussinesq system for rough initial data with striated regularity. We prove the global well-posedness of the Boussinesq system with anisotropic thermal diffusion with initial vorticity being discontinuous across some smooth interface. In the case of an anisotropic horizontal viscosity, we study the propagation of the striated regularity for the smooth temperature patches problem. The proofs relies on the idea of Chemin to solve the 2-D vortex patch problem for ideal fluids, namely the striated regularity can help to bound the gradient of the velocity. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | ON THE STRIATED REGULARITY FOR THE 2D ANISOTROPIC BOUSSINESQ SYSTEM | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00332-019-09603-x | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | Journal of Nonlinear Science | |
| 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-02500477 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02500477v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Nonlinear%20Science&rft.date=2020&rft.eissn=0938-8974&rft.issn=0938-8974&rft.au=PAICU,%20Marius&ZHU,%20Ning&rft.genre=article |
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