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On the radius continuity of the models of polytropic gas spheres which correspond to the positive solutions of the generalized Emden‐Fowler equation
Author(s) -
Batt J.,
Pfaffelmoser K.
Publication year - 1988
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670100502
Subject(s) - polytropic process , mathematics , radius , spheres , mathematical analysis , connection (principal bundle) , mathematical physics , hard spheres , geometry , classical mechanics , physics , thermodynamics , computer security , astronomy , computer science
We completely answer the question which positive solutions of the Emden‐Fowler equation, n > ½, m > − 1, m + n > 0 induce models of polytropic gas spheres of finite radius or finite mass. We continue and complete the investigation of the radius continuity of these models initiated by van den Broek and Verhulst 8 in connection with a numerical analysis by Hénon 7 .