dc.contributor.author | Cañizo, J.A. | |
dc.contributor.author | Cao, C. | |
dc.contributor.author | Evans, J. | |
dc.contributor.author | Yoldas, H. | |
dc.date.accessioned | 2019-08-08T07:49:03Z | |
dc.date.available | 2019-08-08T07:49:03Z | |
dc.date.issued | 2019-02-27 | |
dc.identifier.issn | 1937-5093 | |
dc.identifier.uri | http://hdl.handle.net/20.500.11824/1003 | |
dc.description.abstract | We study convergence to equilibrium of the linear relaxation
Boltzmann (also known as linear BGK) and the linear Boltzmann
equations either on the torus
$(x,v) \in \mathbb{T}^d \times \mathbb{R}^d$ or on the whole space
$(x,v) \in \mathbb{R}^d \times \mathbb{R}^d$ with a confining
potential. We present explicit convergence results in total
variation or weighted total variation norms (alternatively $L^1$ or
weighted $L^1$ norms). The convergence rates are exponential when
the equations are posed on the torus, or with a confining potential
growing at least quadratically at infinity. Moreover, we give
algebraic convergence rates when subquadratic potentials
considered. We use a method from the theory of Markov processes
known as Harris's Theorem. | en_US |
dc.description.sponsorship | "la Caixa" Foundation, MTM2014-52056-P, MTM2017-85067- P, EPSRC grant: EP/L016516/1 (under the ERC grant MAFRAN), FSPM Postdoctoral Fellowship: ANR-17-CE40-0030, DIM PhD Fellowship Program. | en_US |
dc.format | application/pdf | en_US |
dc.language.iso | eng | en_US |
dc.rights | Reconocimiento-NoComercial-CompartirIgual 3.0 España | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ | en_US |
dc.subject | Hypocoercivity | en_US |
dc.subject | Harris's Theorem | en_US |
dc.subject | Linear Boltzmann equation | en_US |
dc.subject | Linear relaxation Boltzmann equation | en_US |
dc.subject | Kinetic theory | en_US |
dc.title | Hypocoercivity of linear kinetic equations via Harris's Theorem | en_US |
dc.type | info:eu-repo/semantics/article | en_US |
dc.identifier.arxiv | 1902.10588 | |
dc.relation.projectID | ES/1PE/SEV-2017-0718 | en_US |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en_US |
dc.type.hasVersion | info:eu-repo/semantics/acceptedVersion | en_US |
dc.journal.title | Kinetic & Related Models | en_US |