Existence and uniqueness of stellar equilibrium models

Details Existence and uniqueness of stellar equilibrium models Existence and uniqueness of stellar equilibrium models

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..36..111p&link_type=abstract

Astrophysics and Space Science, vol. 36, Aug. 1975, p. 111-135. Research supported by the Leverhulme Trust of London.

Mathematics

2

Astronomical Models, Existence Theorems, Stellar Structure, Uniqueness Theorem, Constitutive Equations, Integral Equations, Matrices (Mathematics), Nonlinear Equations, Operators (Mathematics), Polytropic Processes, Radii

Scientific paper

The stellar equilibrium equations for given surface pressure and temperature, and in the absence of convection, are translated into a nonlinear integral equation, in which the radius R of the star enters as an eigenvalue. It is shown that under broad mathematical assumptions on the constitutive equations, a global existence and uniqueness property can be formulated.

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