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Stability of flat galaxies

URN to cite this document: urn:nbn:de:bvb:703-opus-4307

Title data

Firt, Roman:
Stability of flat galaxies.
Bayreuth , 2008
( Doctoral thesis, 2008 , University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)

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In this thesis we investigate the existence and properties of stationary solutions of the flat Vlasov-Poisson system. This system of partial differential equations can be used as a model of extremely flat astronomical objects and is a combination between the two-dimensional motion of particles and the three-dimensional interaction through their gravitational potential.

Abstract in another language

In dieser Dissertation beschäftige ich mich mit dem flachen Vlasov-Poisson-System, einem System partieller Differentialgleichungen, welches als Modell für hinreichend flache astronomische Objekte weithin in Gebrauch ist. Im Zentrum der Arbeit steht die Entwicklung einer Existenztheorie für speziell geartete stationäre Lösungen dieses Systems und die Untersuchung deren weiterer Eigenschaften. Die wesentliche Schwierigkeit bei der flachen Variante des Vlasov-Poisson-Systems besteht in der Kopplung von zweidimensionaler Teilchenbewegung und ´dreidimensionaler Wechselwirkung´ durch gravitative Kräfte.

Further data

Item Type: Doctoral thesis (No information)
Additional notes (visible to public): msc: 82C22
Keywords: Vlasov-Gleichung; Nichtlineare Stabilitätstheorie; Dunkle Materie; Vlasov-Poisson system; Nonlinear stability; Dark Matter
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-opus-4307
Date Deposited: 25 Apr 2014 10:51
Last Modified: 25 Apr 2014 10:51


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