Some A priori estimates for the homogeneous Landau equation with soft potentials
| hal.structure.identifier | Institut de Recherche de l'Ecole Navale [IRENAV] | |
| dc.contributor.author | ALEXANDRE, Radjesvarane | |
| hal.structure.identifier | Department of Mathematics | |
| dc.contributor.author | LIAO, Jie | |
| hal.structure.identifier | College of Computer and Information Engineering [Hohai] | |
| dc.contributor.author | LIN, Chunjin | |
| dc.date.accessioned | 2021-05-14T10:03:41Z | |
| dc.date.available | 2021-05-14T10:03:41Z | |
| dc.date.created | 2012-03-30 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/78427 | |
| dc.description.abstractEn | This paper deals with the derivation of some á priori estimates for the homogeneous Landau equation with soft potentials. Using the coercivity of the Landau operator for soft potentials, we prove a global estimate of weak solutions in $L^2$ space without any smallness assumption on the initial data for $ -2 < \gamma <0$. For the stronger case $ -3 \leq \gamma \leq -2$, which covers in particular the Coulomb case, we get such a global estimate, but in some weighted $L^2$ space and under a smallness assumption on initial data. | |
| dc.language.iso | en | |
| dc.title.en | Some A priori estimates for the homogeneous Landau equation with soft potentials | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1302.1814 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| hal.identifier | hal-00786128 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00786128v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ALEXANDRE,%20Radjesvarane&LIAO,%20Jie&LIN,%20Chunjin&rft.genre=preprint |
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