| dc.contributor.author | Tristani, Isabelle | * |
| dc.date.accessioned | 2014-04-03T11:34:51Z | |
| dc.date.available | 2014-04-03T11:34:51Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/13052 | |
| dc.language.iso | en | en |
| dc.subject | dissipativity | |
| dc.subject | Boltzmann equation without cut-off | |
| dc.subject | long-time asymptotic | |
| dc.subject | exponential rate of convergence | |
| dc.subject | hard potentials | |
| dc.subject | spectral gap | |
| dc.subject.ddc | 515 | en |
| dc.title | Exponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off | |
| dc.type | Article accepté pour publication ou publié | |
| dc.description.abstracten | This paper deals with the long time behavior of solutions to the spatially homogeneous Boltzmann equation. The interactions considered are the so-called (non cut-off with a moderate angular singularity and non mollified) hard potentials. We prove an exponential in time convergence towards the equilibrium, improving results of Villani (Commun Math Phys 234(3): 455–490, 2003) where a polynomial decay to equilibrium is proven. The basis of the proof is the study of the linearized equation for which we prove a new spectral gap estimate in a L1 space with a polynomial weight by taking advantage of the theory of enlargement of the functional space for the semigroup decay developed by Gualdani et al. (http://hal.archives-ouvertes.fr/ccsd-00495786, 2013). We then get our final result by combining this new spectral gap estimate with bilinear estimates on the collisional operator that we establish. | |
| dc.relation.isversionofjnlname | Journal of Statistical Physics | |
| dc.relation.isversionofjnlvol | 157 | |
| dc.relation.isversionofjnlissue | 3 | |
| dc.relation.isversionofjnldate | 2014 | |
| dc.relation.isversionofjnlpages | 474-496 | |
| dc.relation.isversionofdoi | http://dx.doi.org/10.1007/s10955-014-1066-z | |
| dc.relation.isversionofjnlpublisher | Kluwer Academic Publishers etc. | |
| dc.subject.ddclabel | Analyse | en |
| dc.description.submitted | non | en |
| dc.description.ssrncandidate | non | |
| dc.description.halcandidate | oui | |
| dc.description.readership | recherche | |
| dc.description.audience | International | |
| dc.relation.Isversionofjnlpeerreviewed | oui | |
| dc.date.updated | 2018-01-22T09:55:35Z | |
| hal.person.labIds | 60 | * |
