Existence and Uniqueness of Solutions

  • Rudolf Kippenhahn
  • Alfred Weigert
Part of the Astronomy and Astrophysics Library book series (AAL)


The purpose of the theory of stellar structure is to explain observed stars as a natural consequence of basic principles of physics. The models necessary for this, however, follow from a mathematical procedure that also produces models which are not realized in nature, for example, because of the initial conditions during star formation, or because of stability properties. The inclusion of these types of model in the discussion, even though their stellar counterparts cannot be seen through a telescope, often deepens the insight into the behaviour of real stars. We therefore devote this section to (more mathematical) problems such as those of uniqueness, the manifold of all possible solutions of the stellar-structure equations, and the stability of solutions.


Local Uniqueness Interior Solution Surface Boundary Condition Neighbouring Solution Linear Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Rudolf Kippenhahn
    • 1
  • Alfred Weigert
  1. 1.GöttingenGermany

Personalised recommendations