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Approximate solution of a Thomas-Fermi model equation for bulk self-gravitating stellar objects in two dimensions
Chalmers .
University of Borås, Faculty of Textiles, Engineering and Business.
2017 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 38, p. 1-8, article id 015406Article in journal (Refereed) Published
Abstract [en]

Direct variational methods are used to find simple approximate solutions of the Thomas–Fermi equations describing the properties of self-gravitating radially symmetric stellar objects both in the non-relativistic and ultra-relativistic cases. The approximate solutions are compared and shown to be in good agreement with exact and numerically obtained solutions.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2017. Vol. 38, p. 1-8, article id 015406
Keywords [en]
direct variational methods, Rayleigh–Ritz optimization procedure, Thomas–Fermi model equation
National Category
Fusion, Plasma and Space Physics Other Mathematics
Identifiers
URN: urn:nbn:se:hb:diva-11201DOI: 10.1088/0143-0807/38/1/015406ISI: 000390342400001Scopus ID: 2-s2.0-85007189971OAI: oai:DiVA.org:hb-11201DiVA, id: diva2:1052585
Available from: 2016-12-07 Created: 2016-12-07 Last updated: 2021-10-20Bibliographically approved

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Desaix, Mats

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • harvard-cite-them-right
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf