<div class="csl-bib-body">
<div class="csl-entry">Achleitner, F., Arnold, A., & Carlen, E. (2016). On linear hypocoercive BGK models. In P. Goncalves & A. J. Soares (Eds.), <i>From Particle Systems to Partial Differential Equations III Particle Systems and PDEs III, Braga, Portugal, December 2014</i> (pp. 1–37). Springer International Publishing Switzerland. https://doi.org/10.1007/978-3-319-32144-8_1</div>
</div>
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dc.identifier.isbn
9783319321448
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dc.identifier.isbn
9783319321424
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/41499
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dc.description.abstract
We study hypocoercivity for a class of linear and linearized BGK models for discrete and continuous phase spaces. We develop methods for constructing entropy functionals that prove exponential rates of relaxation to equilibrium. Our strategies are based on the entropy and spectral methods, adapting Lyapunov´s direct method (even for "infinite matrices" appearing for continuous phase spaces) to construct appropriate entropy functionals. Finally, we also prove local asymptotic stability of a nonlinear BGK model.
en
dc.publisher
Springer International Publishing Switzerland
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dc.relation.ispartofseries
Springer Proceedings in Mathematics & Statistics
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dc.subject
BGK models
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dc.subject
Kinetic equations
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dc.subject
Hypocoercivity
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dc.subject
Entropy method
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dc.title
On linear hypocoercive BGK models
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dc.type
Konferenzbeitrag
de
dc.type
Inproceedings
en
dc.relation.publication
From Particle Systems to Partial Differential Equations III Particle Systems and PDEs III, Braga, Portugal, December 2014
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dc.relation.isbn
978-3-319-32142-4
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dc.relation.doi
10.1007/978-3-319-32144-8
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dc.relation.issn
2194-1009
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dc.description.startpage
1
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dc.description.endpage
37
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dc.type.category
Full-Paper Contribution
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dc.relation.eissn
2194-1017
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tuw.booktitle
From Particle Systems to Partial Differential Equations III Particle Systems and PDEs III, Braga, Portugal, December 2014
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tuw.peerreviewed
true
-
tuw.relation.publisher
Springer
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tuw.relation.publisherplace
Cham
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E101-01 - Forschungsbereich Analysis
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tuw.publisher.doi
10.1007/978-3-319-32144-8_1
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dc.description.numberOfPages
37
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Analysis und Scientific Computing
de
wb.facultyfocus
Analysis and Scientific Computing
en
wb.facultyfocus.faculty
E100
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item.openairetype
conference paper
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item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_5794
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
