Datensatz Zitierlink: 
http://hdl.handle.net/20.500.12708/41499
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Titel: 
On linear hypocoercive BGK models
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Zitat: 
Achleitner, F., Arnold, A., & Carlen, E. (2016). On linear hypocoercive BGK models. In P. Goncalves & A. J. Soares (Eds.), From Particle Systems to Partial Differential Equations III  Particle Systems and PDEs III, Braga, Portugal, December 2014 (pp. 1–37). Springer International Publishing Switzerland. https://doi.org/10.1007/978-3-319-32144-8_1
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Verlags-DOI: 
10.1007/978-3-319-32144-8_1
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Publikationstyp: 
Konferenzbeitrag - Full-Paper Contribution
de
Autor_innen: 
Achleitner, Franz 
Arnold, Anton 
Carlen, Eric 
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Organisations­einheit: 
E101-01 - Forschungsbereich Analysis 
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Erschienen in: 
From Particle Systems to Partial Differential Equations III Particle Systems and PDEs III, Braga, Portugal, December 2014 
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ISBN: 
978-3-319-32142-4
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DOI des Buches: 
10.1007/978-3-319-32144-8
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Datum (veröffentlicht): 
2016
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Umfang: 
37
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Verlag: 
Springer International Publishing Switzerland
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Verlag: 
Springer, Cham
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Peer Reviewed: 
Ja
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Keywords: 
BGK models; Kinetic equations; Hypocoercivity; Entropy method
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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
Forschungs­schwerpunkte: 
Fundamental Mathematics Research: 100%
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Wissenschafts­zweig: 
Mathematik
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Enthalten in den Sammlungen:
Conference Paper

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