<div class="csl-bib-body">
<div class="csl-entry">Hastermann, G. (2014). <i>Diffusive approximation of the Liouville equation</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2014.26539</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2014.26539
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/3904
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dc.description
Abweichender Titel laut Übersetzung der Verfasserin/des Verfassers
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dc.description.abstract
In statistical physics phase space behavior of an ensemble of non interacting particles can be described by the Liouville equation. In the stationary case with inflow boundary conditions on a (finite) slab the method of characteristics provides solutions with jump type discontinuities. The goal of this work was to overcome the uniqueness issues using a vanishing viscosity method. Since existing results cannot handle problems with non symmetric, parameter dependent collision operators, these approaches are extended. In particular existence of an unique solution to the parabolic-elliptic degenerated diffusive version of the stationary Liouville equation is proven. Furthermore some basic properties such as smoothness and a bound by the posed boundary conditions were established. Hereby the intrinsic Krein space structure of this problem was pointed out.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
vanishing viscosity
en
dc.subject
diffusive Liouville equation
en
dc.subject
eixstence of solution
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dc.title
Diffusive approximation of the Liouville equation
en
dc.title.alternative
Diffuse Approximation der Liouville-Gleichung
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2014.26539
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Gottfried Hastermann
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing