Existence and Uniqueness for the SQG Vortex-Wave System when the Vorticity is Constant near the Point-Vortex
| hal.structure.identifier | Universität Bonn = University of Bonn | |
| hal.structure.identifier | Hausdorff Center for Mathematics [HCM] | |
| dc.contributor.author | COBB, Dimitri | |
| hal.structure.identifier | École normale supérieure de Lyon [ENS de Lyon] | |
| hal.structure.identifier | Unité de Mathématiques Pures et Appliquées [UMPA-ENSL] | |
| dc.contributor.author | DONATI, Martin | |
| hal.structure.identifier | Institut Polytechnique de Bordeaux [Bordeaux INP] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GODARD-CADILLAC, Ludovic | |
| dc.date.accessioned | 2024-04-04T02:31:42Z | |
| dc.date.available | 2024-04-04T02:31:42Z | |
| dc.date.issued | 2024-01-03 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190326 | |
| dc.description.abstractEn | This article studies the vortex-wave system for the Surface Quasi-Geostrophic equation with parameter 0 < s < 1. We obtained local existence of classical solutions in H^4 under the standard "plateau hypothesis", H^2-stability of the solutions, and a blow-up criterion. In the sub-critical case s > 1/2 we established global existence of weak solutions. For the critical case s = 1/2, we introduced a weaker notion of solution (V-weak solutions) to give a meaning to the equation and prove global existence. | |
| dc.language.iso | en | |
| dc.subject.en | Vortex Interaction | |
| dc.subject.en | Quasi-geostrophic dynamics | |
| dc.subject.en | Evolution equation nonlinear | |
| dc.subject.en | PDE Modeling | |
| dc.title.en | Existence and Uniqueness for the SQG Vortex-Wave System when the Vorticity is Constant near the Point-Vortex | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 2401.02728 | |
| 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-04370483 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04370483v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2024-01-03&rft.au=COBB,%20Dimitri&DONATI,%20Martin&GODARD-CADILLAC,%20Ludovic&rft.genre=preprint |
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